**1. If ∠ AOB and ∠ COD are vertically opposite angles, and the measure of ∠ AOB is 40°, what is the measure of a ∠ COD?**

a) 40°

b) 50°

c) 80°

d) 140°

**Answer:** a) 40°

**Explanation:** Vertically opposite angles are equal in measure, so if the measure of ∠ AOB is 40°, then the measure of ∠ COD is also 40°.

**2. An angle and its complement have a sum that is twice the measure of the complement. What is the measure of the angle?**

a) 45°

b) 54°

c) 72°

d) 108°

**Answer:** a) 45°

**Explanation:** Let x be the measure of the complement, then the angle measures (90 – x)°. The problem states that the sum of the angle and its complement is twice the measure of the complement, so we can write:

(90 – x) + x = 2x

2x = 90

x = 45°

Solving for x, we get x = 45°.

Therefore, the angle measures 90^{o} – 45^{o} = 45^{o}.

**3. If one angle in a pair of supplementary angles is 75°, what is the measure of the other angle?**

a) 75°

b) 105°

c) 115°

d) 135°

**Answer:** d) 105°

**Explanation:** Since the pair of angles are supplementary, their sum is 180°. So, if one angle is 75°, the other angle must be 180o - 75o = 105°.

**4. If two parallel lines are intersected by a transversal and the measure of one of the exterior angles formed is 150°, what is the measure of the corresponding interior angle on the same side of the transversal?**

a) 30°

b) 60°

c) 120°

d) 150°

**Answer:** a) 30°

**Explanation:** The exterior angle and the corresponding interior angle are supplementary, which means the sum of their measures is 180^{o}.

So, the measure of the corresponding interior angle is 180^{o} - 150^{o} = 30°

**5. In triangle PQR, the measure of ∠ P is 40° and the measure of ∠ R is 70°. What is the measure of exterior angle ∠ Q?**

a) 40°

b) 90°

c) 100°

d) 110°

**Answer:** d) 110°

**Explanation:** The angle ∠ Q is an exterior angle of ? PQR and according to the exterior angle property, it is equal to the sum of the measures of ∠ P and ∠ R.

Thus, ∠ Q = ∠ P + ∠ R. Substituting the given values, we get ∠ Q = 40 + 70 = 110°.

**1. If the measure of one angle in a pair of vertically opposite angles is 75°, what is the measure of the other angle?**

a) 75°

b) 90°

c) 105°

d) 180°

**Answer:** a) 75°

**2. If the measure of an angle is 10° less than its complement, what is the measure of the larger angle?**

a) 15°

b) 30°

c) 45°

d) 50°

**Answer:** d) 50°

**3. What is the definition of supplementary angles?**

a) Two angles whose sum is 90°

b) Two angles whose sum is 180°

c) Two angles whose sum is 270°

d) Two angles whose sum is 360°

**Answer:** b) Two angles whose sum is 180°

**4. If two parallel lines are intersected by a transversal, and the measure of one of the interior angles formed is 110°, what is the measure of its corresponding angle?**

a) b) 70°

b) 90°

c) 110°

d) 120°

**Answer:** a) 110°

**5. What is the name of an angle that measures greater than 90° but less than 180°?**

a) Right angle

b) Obtuse angle

c) Acute angle

d) Straight angle

**Answer:** b) Obtuse angle

**6. Two parallel lines are intersected by a transversal and the measure of one of the exterior angles formed is 130°. What is the measure of the angle that is supplementary to this angle?**

a) 50°

b) 70°

c) 110°

d) 150°

**Answer:** a) 50°

**7. If two parallel lines are intersected by a transversal and the measure of one of the interior angles formed is 60°, what is the measure of the exterior angle adjacent to it?**

a) 30°

b) 60°

c) 120°

d) 150°

**Answer:** c) 120°

**8. What is the name of an angle that measures exactly 90°?**

a) Right angle

b) Obtuse angle

c) Acute angle

d) Straight angle

**Answer:** a) Right angle

**9. What is the name of a line that has a beginning point but no end point?**

a) Ray

b) Line segment

c) Line

d) Infinity line

**Answer:** a) Ray

**10. What is the name of an angle that measures exactly 360 degrees?**

a) Right angle

b) Obtuse angle

c) Acute angle

d) Complete angle

**Answer:** d) Complete angle

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