1.4 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

Calculate m∠DEF if m∠A + m∠B + m∠C = 180° and m∠A = 60°, m∠B = 60°.

Back

m∠DEF = 180° - (60° + 60°) = 60°.

Front

What is a linear pair of angles?

Back

A linear pair of angles are two adjacent angles that form a straight line, meaning their measures add up to 180°.

Front

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, what is the relationship between m∠1 and m∠2 if they form a linear pair?

Back

m∠1 + m∠2 = 180°.

Front

Find the value of x if m∠1 = (5x + 9)° and m∠2 = (3x + 11)° and they form a linear pair.

Back

x = 10.

Front

What is the measure of an angle if it is complementary to 30°?

Back

The measure of the angle is 60°.

Front

What is the measure of an angle if it is supplementary to 120°?

Back

The measure of the angle is 60°.

Front

Calculate m∠ABC if m∠A + m∠B = 105° and m∠A = 45°.

Back

m∠B = 105° - 45° = 60°.

Front

What is another name for ∠H if it is formed by rays HG and HK?

Back

∠H can also be referred to as ∠KHG.

Front

If m∠1 = 70° and m∠2 = 110°, are they complementary or supplementary?

Back

They are supplementary because 70° + 110° = 180°.