Angle Relationships

Front

What are vertical angles?

Back

Vertical angles are pairs of opposite angles formed when two lines intersect. They are always congruent (equal in measure).

Front

What is the relationship between vertical angles?

Back

Vertical angles are always congruent, meaning they have equal measures.

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 is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles whose non-common sides form a straight line, summing to 180 degrees.

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

Identify a pair of vertical angles in the figure: ∠1 and ∠4, ∠6 and ∠5, ∠2 and ∠4, ∠1 and ∠6.

Back

∠1 and ∠4 are vertical angles.

Front

Which angles are vertical angles? ∠8 and ∠7, ∠8 and ∠6, ∠8 and ∠5.

Back

∠8 and ∠5 are vertical angles.

Front

What angle is vertical to angle 2? ∠4, ∠1, ∠2, ∠5.

Back

∠5 is vertical to angle 2.

Front

If two angles are supplementary and one angle measures 70 degrees, what is the measure of the other angle?

Back

The other angle measures 110 degrees (180 - 70 = 110).