Flashcard- 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

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

Back

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

Front

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

Back

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

Front

What is the equation to find the measure of angle FGH if FGB and BGH are adjacent angles?

Back

m∠FGB + m∠BGH = m∠FGH.

Front

How do you solve for x in the equation m∠K + m∠L = 90° if m∠K = (3x + 3)° and m∠L = (10x - 4)°?

Back

Set up the equation (3x + 3) + (10x - 4) = 90 and solve for x.

Front

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

Back

The measure of angle DEF is 180°.

Front

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

Back

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

Front

What is the relationship between the measures of two angles that are supplementary?

Back

If two angles are supplementary, their measures add up to 180°.

Front

What is the relationship between the measures of two angles that are complementary?

Back

If two angles are complementary, their measures add up to 90°.