Complementary, Supplementary, and Vertical Angles

Front

What are complementary angles?

Back

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

Front

If ∠H and ∠J are complementary and ∠H is 35°, what is ∠J?

Back

∠J = 90° - 35° = 55°.

Front

What are supplementary angles?

Back

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

Front

If ∠A and ∠B are supplementary and ∠A is 120°, what is ∠B?

Back

∠B = 180° - 120° = 60°.

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 vertical and one measures 45°, what is the measure of the other angle?

Back

The other angle also measures 45°.

Front

What is the sum of the measures of complementary angles?

Back

The sum is always 90 degrees.

Front

What is the sum of the measures of supplementary angles?

Back

The sum is always 180 degrees.

Front

If ∠X and ∠Y are supplementary and ∠X is 80°, what is ∠Y?

Back

∠Y = 180° - 80° = 100°.

Front

If ∠M and ∠N are complementary and ∠M is 25°, what is ∠N?

Back

∠N = 90° - 25° = 65°.