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 m∠ABC = 60° and m∠CBD = 45°, what is m∠ABD?

Back

m∠ABD = m∠ABC + m∠CBD = 60° + 45° = 105°.

Front

Define supplementary angles.

Back

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

Front

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

Back

(5x + 9) + (3x + 11) = 180.

Front

What is the measure of two supplementary angles if one angle is 70°?

Back

The other angle is 110° because 180° - 70° = 110°.

Front

If m∠RST = (15x - 4)° and m∠UST = 48°, what is the equation to find m∠RSU?

Back

m∠RSU = 180° - m∠RST - m∠UST.

Front

What is the sum of the measures of angles in a triangle?

Back

The sum of the measures of angles in a triangle is always 180°.

Front

If m∠DEF = 180°, what type of angle is it?

Back

It is a straight angle.

Front

What is the equation for the Angle Addition Postulate in terms of angles FGB, BGH, and FGH?

Back

m∠FGB + m∠BGH = m∠FGH.

Front

If m∠1 = 109° and m∠2 = 71°, are they supplementary?

Back

Yes, because 109° + 71° = 180°.