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 two angles are supplementary, what is the sum of their measures?

Back

The sum of the measures of two supplementary angles is 180°.

Front

Given m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, how do you find the measure of each angle if they are supplementary?

Back

Set up the equation (5x + 9) + (3x + 11) = 180 and solve for x.

Front

What is the measure of angle NME if m∠NML = 138° and m∠EML = 88°?

Back

m∠NME = 50°, calculated using the equation m∠NML - m∠EML.

Front

What is the equation representing the Angle Addition Postulate for angles FGB, BGH, and FGH?

Back

m∠FGB + m∠BGH = m∠FGH.

Front

What is the measure of angle DEF if it is a straight angle?

Back

m∠DEF = 180°.

Front

What is the measure of angle ABC if it is given as 105°?

Back

m∠ABC = 105°.

Front

How do you express the relationship between two angles that are complementary?

Back

The sum of the measures of two complementary angles is 90°.

Front

What is the formula to find the measure of an angle when given its supplementary angle?

Back

If m∠A is supplementary to m∠B, then m∠A = 180° - m∠B.

Front

If m∠X + m∠Y = 90°, what can you conclude about angles X and Y?

Back

Angles X and Y are complementary.