7:[["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"Quiz\",\"name\":\"Quiz 1\",\"description\":\"Lines, angles, and triangles fundamentals.\",\"url\":\"https://theschoolofmathematics.com/quiz/psat-8-9-lines-angles-triangles-quiz-1\",\"educationalLevel\":\"Fundamental\",\"numberOfQuestions\":10,\"isAccessibleForFree\":true,\"about\":{\"@type\":\"Thing\",\"name\":\"Geometry and Trigonometry - Lines, angles, and triangles\"}}"}}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https://theschoolofmathematics.com\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Quizzes\",\"item\":\"https://theschoolofmathematics.com/quiz\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Quiz 1\",\"item\":\"https://theschoolofmathematics.com/quiz/psat-8-9-lines-angles-triangles-quiz-1\"}]}"}}],["$","div",null,{"className":"bg-gradient-to-b from-white via-gray-50 to-white","children":["$","div",null,{"className":"container mx-auto px-4 py-8 md:py-12","children":[["$","div",null,{"className":"mb-12","children":["$undefined",["$","div",null,{"className":"mb-8","children":["$","h1",null,{"className":"text-4xl md:text-5xl lg:text-6xl font-bold text-gray-900 mb-4","children":"Quiz 1"}]}],["$","div",null,{"className":"bg-white rounded-2xl shadow-lg p-6 md:p-8 border border-gray-200","children":[["$","div",null,{"className":"text-lg md:text-xl text-gray-700 mb-8 leading-relaxed prose prose-lg max-w-none","dangerouslySetInnerHTML":{"__html":"

Lines, angles, and triangles fundamentals.

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Practice problems on lines, angles, and triangles for PSAT 8/9.

"},"excerpt":{"rendered":"

Lines, angles, and triangles fundamentals.

"},"featured_media":0,"featured_media_url":"$undefined","acf":{"duree_estimee":"$undefined","niveau_difficulte":"Fundamental","categorie":"Geometry and Trigonometry - Lines, angles, and triangles","nombre_questions":10,"score_minimum":90,"ordre_questions":"Aleatoire","questions":[{"id":"cmrk8f0vd0ygqjg8w2tgr63b5","texte_question":"$18","type_question":"QCM","explication":"

Vertical angles are congruent. That means they have equal measures.

Angle $$1$$ measures $$72^\\circ$$.

So, angle $$2$$ also measures $$72^\\circ$$.

Final answer: $$72^\\circ$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$72^\\circ$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$108^\\circ$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$144^\\circ$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$288^\\circ$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0vg0ygwjg8w7hu2sq7x","texte_question":"

Two lines intersect to form vertical angles. One of the angles measures $$65^\\circ$$. What is the measure, in degrees, of its vertical angle?

","type_question":"QCM","explication":"

Vertical angles are congruent. That means vertical angles have the same measure. One angle measures $$65^\\circ$$. So its vertical angle also measures $$65^\\circ$$.

Final answer: $$65$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$25$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$65$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$115$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$180$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0vi0yh2jg8wxpt6wh9c","texte_question":"

Two lines intersect to form a linear pair. One angle measures $$120^\\circ$$. What is the measure, in degrees, of the adjacent angle?

","type_question":"QCM","explication":"

Angles in a linear pair are supplementary. Supplementary angles have a sum of $$180^\\circ$$. Let the adjacent angle be $$x$$.

$$120+x=180$$

Subtract $$120$$ from both sides.

$$x=60$$

Final answer: $$60$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$30$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$60$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$90$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$120$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0vl0yh8jg8ww6u2a8u2","texte_question":"

A triangle has angles that measure $$x^\\circ$$, $$2x^\\circ$$, and $$3x^\\circ$$. What is the value of $$x$$?

","type_question":"QCM","explication":"

The sum of the interior angles of a triangle is $$180^\\circ$$.

Add the three angle expressions.

$$x+2x+3x=180$$

Combine like terms.

$$6x=180$$

Divide both sides by $$6$$.

$$x=30$$

Final answer: $$30$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$15$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$20$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$30$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$45$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0vn0yhejg8wlrjrmk3x","texte_question":"

In triangle $$ABC$$, the measure of angle $$A$$ is $$50^\\circ$$ and the measure of angle $$B$$ is $$60^\\circ$$. What is the measure, in degrees, of angle $$C$$?

","type_question":"QCM","explication":"

The sum of the interior angles of a triangle is $$180^\\circ$$.

Add the known angles.

$$50+60=110$$

Subtract from $$180$$.

$$180-110=70$$

So, angle $$C$$ measures $$70^\\circ$$.

Final answer: $$70$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$60$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$70$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$80$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$90$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0vq0yhkjg8w62uctjz6","texte_question":"

Two parallel lines are cut by a transversal. One of the corresponding angles measures $$110^\\circ$$. What is the measure, in degrees, of the corresponding angle on the other line?

","type_question":"QCM","explication":"

Corresponding angles formed by parallel lines and a transversal are congruent. That means they have equal measures. One corresponding angle measures $$110^\\circ$$. So, the corresponding angle on the other line also measures $$110^\\circ$$.

Final answer: $$110$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$70$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$90$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$110$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$180$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0vs0yhqjg8w8v2b6ep4","texte_question":"

Two parallel lines are cut by a transversal. One of the alternate interior angles measures $$45^\\circ$$. What is the measure, in degrees, of the other alternate interior angle?

","type_question":"QCM","explication":"

Alternate interior angles formed by parallel lines and a transversal are congruent. That means they have equal measures. One alternate interior angle measures $$45^\\circ$$. So the other alternate interior angle also measures $$45^\\circ$$.

Final answer: $$45$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$45$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$90$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$135$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$180$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0vv0yhwjg8wokb2y2pz","texte_question":"

An isosceles triangle has two equal sides and two equal angles. If one of the base angles measures $$40^\\circ$$, what is the measure, in degrees, of the vertex angle?

","type_question":"QCM","explication":"

In an isosceles triangle, the base angles are equal. One base angle measures $$40^\\circ$$. So, the other base angle also measures $$40^\\circ$$. The sum of the interior angles of a triangle is $$180^\\circ$$. $$40+40+x=180$$

$$80+x=180$$

Subtract $$80$$ from both sides.

$$x=100$$

Final answer: $$100$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$80$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$100$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$120$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$140$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0vy0yi2jg8wuz2cdt2w","texte_question":"

The sum of the interior angles of a triangle is $$180^\\circ$$. A triangle has angles measuring $$30^\\circ$$ and $$80^\\circ$$. What is the measure, in degrees, of the third angle?

","type_question":"QCM","explication":"

The sum of the interior angles of a triangle is $$180^\\circ$$.

Add the two known angles.

$$30+80=110$$

Subtract from $$180$$.

$$180-110=70$$

The third angle measures $$70^\\circ$$.

Final answer: $$70$$

","points":1,"temps_limite":60,"reponses":[{"texte":"

$$60$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$70$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$80$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$90$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0w00yi8jg8wvbc2efbs","texte_question":"

In a right triangle, one angle measures $$90^\\circ$$ and another angle measures $$35^\\circ$$. What is the measure, in degrees, of the third angle?

","type_question":"QCM","explication":"

The sum of the interior angles of a triangle is $$180^\\circ$$.

Add the two known angles.

$$90+35=125$$

Subtract from $$180$$.

$$180-125=55$$

The third angle measures $$55^\\circ$$.

Final answer: $$55$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$45$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$50$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$55$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$65$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]}]},"categories":["geometry-and-trigonometry-lines-angles-and-triangles"],"date":"2026-06-04T09:04:49.659Z","modified":"2026-07-14T05:49:54.597Z"}}],["$","div",null,{"className":"container mx-auto px-4 pb-12","children":["$","$L19",null,{"targetType":"quiz","targetSlug":"psat-8-9-lines-angles-triangles-quiz-1"}]}]]}]}]]

Quiz 1

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