Geometry and Trigonometry - Lines, angles, and triangles — Quiz 2

Questions in this quiz (10)

1. In the figure, line $$p$$ is parallel to line $$q$$, and line $$t$$ intersects both lines. What is the value of $$x+142$$?

   • $$52$$
   • $$90$$
   • $$142$$
   • $$180$$

2. In the triangle above, $$a=45$$. What is the value of $$b$$?

   • $$52$$
   • $$59$$
   • $$76$$
   • $$104$$

3. In the figure above, $$AD$$ intersects $$BE$$ at $$C$$. If $$x=100$$, what is the value of $$y$$?

   • $$100$$
   • $$90$$
   • $$80$$
   • $$60$$

4. In the figure shown, line $$\ell$$ intersects lines $$j$$ and $$k$$. Which additional piece of information is sufficient to prove that lines $$j$$ and $$k$$ are parallel?

   • $$w=40$$
   • $$x=140$$
   • $$y=40$$
   • $$z=140$$

5. In triangle $$DEF$$, $$DE=3200$$ mm and $$EF=3200$$ mm. Which statement is sufficient to prove that triangle $$DEF$$ is equilateral?

   • $$DF=3200$$
   • $$DF=320$$
   • $$DF=32$$
   • $$DF=3.2$$

6. In $$\triangle ABC$$, the measure of $$\angle A$$ is $$35^\circ$$ and the measure of $$\angle B$$ is $$75^\circ$$. What is the measure of $$\angle C$$?

   • $$40$$
   • $$70$$
   • $$90$$
   • $$110$$

7. In $$\triangle PQR$$, the measure of $$\angle P$$ is $$18^\circ$$ and the measure of $$\angle Q$$ is $$102^\circ$$. What is the measure of $$\angle R$$?

   • $$60$$
   • $$78$$
   • $$84$$
   • $$120$$

8. In triangle $$XYZ$$, the measure of angle $$Y$$ is $$48^\circ$$ and the measure of angle $$Z$$ is $$32^\circ$$. What is the measure of angle $$X$$?

   • $$80$$
   • $$90$$
   • $$100$$
   • $$120$$

9. In a right triangle, one acute angle is $$64^\circ$$. What is the other acute angle?

   • $$16$$
   • $$26$$
   • $$36$$
   • $$64$$

10. Triangles $$PQR$$ and $$XYZ$$ are congruent, where $$P$$, $$Q$$, and $$R$$ correspond to $$X$$, $$Y$$, and $$Z$$, respectively. The measure of angle $$P$$ is $$38^\circ$$ and the measure of angle $$Q$$ is $$52^\circ$$. What is the measure of angle $$X$$?

    • $$38^\circ$$
    • $$52^\circ$$
    • $$90^\circ$$
    • $$128^\circ$$