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∠RST = (12x - 1)° and m∠RSU = (9x - 15)°, what is the equation to find x if m∠UST = 53°?

Back

12x - 1 + 9x - 15 = 53.

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)°, how do you set up the equation for complementary angles?

Back

3x + 3 + 10x - 4 = 90.

Front

What is the solution for x if m∠K = 24° and m∠L = 66°?

Back

x = 3.

Front

What is the measure of angle ABD if x = 3?

Back

∠ABD = 27°.

Front

How do you solve for x in the equation 2x + 4 = 10?

Back

Subtract 4 from both sides, then divide by 2: x = 3.

Front

What is the sum of the measures of angles in a triangle?

Back

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

Front

If two angles are supplementary, what is their relationship?

Back

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

Front

What is the formula to find the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.