Angle Addition Postulate

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

If m∠K = (3x + 3)° and m∠L = (10x - 4)°, what is the relationship between angles K and L?

Back

Angles K and L are complementary, meaning m∠K + m∠L = 90°.

Front

Calculate m∠ABC if m∠A = 45° and m∠B = 60°.

Back

m∠ABC = m∠A + m∠B = 45° + 60° = 105°.

Front

What are complementary angles?

Back

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

Front

If m∠DEF = 180°, what type of angle is it?

Back

It is a straight angle.

Front

If m∠NML = 138° and m∠EML = 88°, how do you find m∠NME?

Back

Use the equation m∠NME = 180° - (m∠NML + m∠EML). Thus, m∠NME = 180° - (138° + 88°) = 50°.

Front

What is the sum of angles in a triangle?

Back

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

Front

If m∠FGB + m∠BGH = m∠FGH, what does this represent?

Back

This represents the Angle Addition Postulate.

Front

What is the measure of an angle if it is supplementary to a 70° angle?

Back

The measure of the angle is 110°, since supplementary angles add up to 180°.

Front

If m∠A + m∠B = 90°, what can you conclude about angles A and B?

Back

Angles A and B are complementary.