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 form a linear pair, what is true about their measures?

Back

The measures of two angles that form a linear pair are supplementary, meaning they add up to 180 degrees.

Front

What are complementary angles?

Back

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

Front

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, what is the equation to find x if they form a linear pair?

Back

Set up the equation: (5x + 9) + (3x + 11) = 180.

Front

Solve for x: 5x + 9 + 3x + 11 = 180.

Back

x = 21.

Front

What is the measure of angle 1 if m∠1 = (5x + 9)° and x = 21?

Back

m∠1 = 114°.

Front

What is the measure of angle 2 if m∠2 = (3x + 11)° and x = 21?

Back

m∠2 = 74°.

Front

How do you find the measure of an angle if it is complementary to another angle?

Back

Subtract the measure of the known angle from 90 degrees.

Front

If m∠K = (3x + 3)° and m∠L = (10x - 4)°, what is the equation to find x if they are complementary?

Back

Set up the equation: (3x + 3) + (10x - 4) = 90.

Front

Solve for x: 3x + 3 + 10x - 4 = 90.

Back

x = 7.