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

What are supplementary angles?

Back

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

Front

If 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 DEF if it is a straight angle?

Back

m∠DEF = 180°.

Front

If m∠NML = 138° and m∠EML = 88°, how do you find m∠NME?

Back

Use the equation m∠NML + m∠EML + m∠NME = 180° to find m∠NME.

Front

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

Back

m∠ABC = 105°.

Front

What is the equation for the Angle Addition Postulate in a diagram with angles FGB and BGH?

Back

m∠FGB + m∠BGH = m∠FGH.

Front

How do you solve for x in the equation 5x + 9 + 3x + 11 = 180?

Back

Combine like terms to get 8x + 20 = 180, then solve for x.

Front

What is the sum of the measures of two supplementary angles?

Back

The sum is always 180 degrees.

Front

If m∠A + m∠B = 180°, what can you conclude about angles A and B?

Back

Angles A and B are supplementary.