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∠ABC if m∠ABD = 60° and m∠DBC = 45°.

Back

m∠ABC = m∠ABD + m∠DBC = 60° + 45° = 105°.

Front

What is the sum of the angles in a triangle?

Back

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

Front

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

Back

It is a straight angle.

Front

If m∠RST = (12x - 1)° and m∠RSU = (9x - 15)°, and m∠UST = 53°, find x.

Back

x = 13.

Front

What is the measure of m∠RST if x = 13?

Back

m∠RST = 155°.

Front

What is the measure of m∠RSU if x = 13?

Back

m∠RSU = 102°.

Front

Find the value of ∠A if m∠A + m∠B = 90° and m∠B = 65°.

Back

∠A = 25°.

Front

What is another name for ∠H if it is formed by points K, G, and L?

Back

∠LHG.

Front

If two angles are complementary, what is their sum?

Back

Their sum is 90°.