Angle Relationships I.P.

Front

What are vertical angles?

Back

Vertical angles are pairs of opposite angles formed by the intersection of two lines. They are always congruent (equal in measure).

Front

Which angles are vertical angles?

Back

Vertical angles are the angles that are opposite each other when two lines intersect.

Front

If two angles are vertical, what can we say about their measures?

Back

If two angles are vertical, their measures are equal.

Front

What is the sum of angles on a straight line?

Back

The sum of angles on a straight line is 180 degrees.

Front

What is the relationship between adjacent angles?

Back

Adjacent angles share a common side and vertex but do not overlap.

Front

If ∠BPD and ∠DPC have a sum of 72°, what is the measure of ∠APC if ∠APC is supplementary to ∠BPD?

Back

∠APC = 180° - ∠BPD = 180° - (72° - ∠DPC) = 108°.

Front

What is the value of x if ∠A + ∠B = 90° and ∠A = 30°?

Back

x = ∠B = 90° - 30° = 60°.

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If ∠COB = 40°, what is the measure of ∠AOD if they are vertical angles?

Back

∠AOD = 40° (because vertical angles are congruent).