Solving for Angles

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Tags

CCSS.8.G.A.5

Front

What is the definition of complementary angles?

Back

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

Tags

CCSS.7.G.B.5

Front

What is the definition of supplementary angles?

Back

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

Tags

CCSS.7.G.B.5

Front

If two angles are vertical angles, what can be said about their measures?

Back

Vertical angles are equal in measure.

Tags

CCSS.7.G.B.5

Front

What is the relationship between the angles in a linear pair?

Back

Angles in a linear pair are supplementary, meaning they add up to 180°.

Tags

CCSS.7.G.B.5

Front

In triangle ABC, if m∠A = 40° and m∠B = 60°, what is m∠C?

Back

m∠C = 80° (since 180° - 40° - 60° = 80°).

Tags

CCSS.8.G.A.5

Front

What is the formula to find the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles.

Tags

CCSS.8.G.A.5

Front

If m∠A = (3x + 10)° and m∠B = (2x + 20)°, find x if m∠C = 90°.

Back

x = 10 (since (3x + 10) + (2x + 20) + 90 = 180).

Tags

CCSS.7.G.B.5

Front

What is the definition of an acute angle?

Back

An acute angle is an angle that measures less than 90°.

Tags

CCSS.4.G.A.1

Front

What is the definition of an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90° but less than 180°.

Tags

CCSS.4.G.A.1