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∠1 = (5x + 9)° and m∠2 = (3x + 11)°, what is the relationship between ∠1 and ∠2 if they are supplementary?

Back

m∠1 + m∠2 = 180°.

Front

Calculate m∠ABC if m∠AOB = 60° and m∠BOC = 45°.

Back

m∠ABC = m∠AOB + m∠BOC = 60° + 45° = 105°.

Front

What are complementary angles?

Back

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

Front

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

Back

m∠K + m∠L = 90°.

Front

Calculate m∠DEF if m∠D = 60° and m∠E = 120°.

Back

m∠DEF = m∠D + m∠E = 60° + 120° = 180°.

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) = 180° - (138° + 88°) = 50°.

Front

What is the formula to find the measure of supplementary angles?

Back

If m∠1 and m∠2 are supplementary, then m∠1 + m∠2 = 180°.

Front

If m∠K = 24° and m∠L = 66°, are these angles complementary?

Back

Yes, because 24° + 66° = 90°.

Front

What is the measure of angle A if m∠AOB = 45° and m∠BOC = 60°?

Back

m∠A = m∠AOB + m∠BOC = 45° + 60° = 105°.