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

Define 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 measures of ∠1 and ∠2?

Back

Set up the equation (5x + 9) + (3x + 11) = 180, solve for x, then substitute back to find m∠1 and m∠2.

Front

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

Back

The sum of the measures of two supplementary angles is always 180 degrees.

Front

How do you solve for x in the equation m∠RST = (15x - 4)° and m∠RSU = (10x + 3)° given m∠UST = 48°?

Back

Use the equation (15x - 4) + (10x + 3) + 48 = 180 to solve for x.

Front

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

Back

Use the equation m∠NME = 180 - (m∠NML + m∠EML) to find m∠NME.

Front

What does the equation m∠FGB + m∠BGH = m∠FGH represent?

Back

This equation represents the Angle Addition Postulate, where the sum of two adjacent angles equals the measure of the larger angle.

Front

What is the measure of angle DEF if it is supplementary to another angle measuring 0°?

Back

m∠DEF = 180°.

Front

If m∠RST = (15x - 4)° and m∠RSU = (10x + 3)°, what is the first step to find x?

Back

Set up the equation (15x - 4) + (10x + 3) + 48 = 180.

Front

What is the relationship between complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.