Adjacent and Vertical Angles- Math Bowl Review

Front

What are adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex, but do not overlap.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of the measures of complementary angles is 90 degrees.

Front

If two angles are supplementary, what is the sum of their measures?

Back

The sum of the measures of supplementary angles is 180 degrees.

Front

Find the value of x if angle A = 70° and angle B is its adjacent angle. What is angle B?

Back

Angle B = 70° (if they are equal) or can be any angle that shares a side with angle A.

Front

If angle 1 = 30° and angle 2 is vertical to angle 1, what is the measure of angle 2?

Back

Angle 2 = 30° (because vertical angles are equal).

Front

What is the relationship between two angles that are both adjacent and supplementary?

Back

They are two angles that share a common side and vertex, and their measures add up to 180 degrees.

Front

If angle A is 40° and angle B is adjacent to angle A, what is the maximum possible measure of angle B?

Back

Angle B can be up to 140° (if they are supplementary).

Front

If angle 1 = 45° and angle 2 is adjacent to angle 1, what is the measure of angle 2 if they are complementary?

Back

Angle 2 = 45° (because 45° + 45° = 90°).

Front

What is the measure of vertical angles if one angle measures 110°?

Back

The vertical angle will also measure 110°.