Geometry and Trigonometry - Lines, angles, and triangles — Quiz 1

Questions in this quiz (10)

1. In the figure, two lines intersect at a point. Angle $$1$$ and angle $$2$$ are vertical angles. The measure of angle $$1$$ is $$72^\circ$$. What is the measure of angle $$2$$?

   • $$72^\circ$$
   • $$108^\circ$$
   • $$144^\circ$$
   • $$288^\circ$$

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

   • $$25$$
   • $$65$$
   • $$115$$
   • $$180$$

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

   • $$30$$
   • $$60$$
   • $$90$$
   • $$120$$

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

   • $$15$$
   • $$20$$
   • $$30$$
   • $$45$$

5. 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 $$C$$?

   • $$60$$
   • $$70$$
   • $$80$$
   • $$90$$

6. 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?

   • $$70$$
   • $$90$$
   • $$110$$
   • $$180$$

7. 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?

   • $$45$$
   • $$90$$
   • $$135$$
   • $$180$$

8. 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?

   • $$80$$
   • $$100$$
   • $$120$$
   • $$140$$

9. 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?

   • $$60$$
   • $$70$$
   • $$80$$
   • $$90$$

10. 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?

    • $$45$$
    • $$50$$
    • $$55$$
    • $$65$$