Angle and Segment 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

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

If FG = x and GH = 5x, what is FH in terms of x?

Back

FH = FG + GH = x + 5x = 6x.

Front

Given FH = 4x + 8 and FG = x, find GH in terms of x.

Back

GH = FH - FG = (4x + 8) - x = 3x + 8.

Front

If m∠RST = (12x - 1)° and m∠RSU = (9x - 15)°, what is the relationship between these angles?

Back

The sum of angles RST, RSU, and UST must equal 180° if they are adjacent.

Front

Calculate m∠ABC if m∠ABD = 60° and m∠DBC = 45°.

Back

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

Front

If m∠RST = 155° and m∠RSU = 102°, what is the value of x if m∠RST = (12x - 1)°?

Back

Set 12x - 1 = 155, solve for x: 12x = 156, x = 13.

Front

What is the value of x if FG = x and GH = 5x, and FH = 4x + 8?

Back

Set FG + GH = FH: x + 5x = 4x + 8, solve for x: 6x = 4x + 8, 2x = 8, x = 4.

Front

If m∠A + m∠B = 90°, what type of angles are A and B?

Back

Angles A and B are complementary angles.

Front

What is the measure of an angle if its supplement is 125°?

Back

The measure of the angle is 180° - 125° = 55°.