Angle Addition Postulate Practice #1 LBJECHS

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 ∠A measures 40 degrees and ∠B measures 50 degrees, what is the measure of ∠C if ∠C is the sum of ∠A and ∠B?

Back

∠C = ∠A + ∠B = 40 + 50 = 90 degrees.

Front

What is an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal parts.

Front

If ray EF is the angle bisector of ∠TEA, and m∠TEA = 100 degrees, what is m∠TEF?

Back

m∠TEF = m∠TEA / 2 = 100 / 2 = 50 degrees.

Front

What is the measure of an angle if its complement is 30 degrees?

Back

The measure of the angle is 60 degrees, since complementary angles sum to 90 degrees.

Front

If m∠GHK = 80.5 degrees, what is m∠KHJ if they are complementary?

Back

m∠KHJ = 90 - m∠GHK = 90 - 80.5 = 9.5 degrees.

Front

What is the relationship between supplementary angles?

Back

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

Front

If m∠A + m∠B = 180 degrees and m∠A = 110 degrees, what is m∠B?

Back

m∠B = 180 - m∠A = 180 - 110 = 70 degrees.

Front

What does it mean for two angles to be vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

If two angles are complementary and one angle measures 45 degrees, what is the measure of the other angle?

Back

The other angle measures 45 degrees, since 90 - 45 = 45.