1.4 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

Calculate m∠A if m∠B = 30° and m∠C = 50° in triangle ABC.

Back

m∠A = 180° - (m∠B + m∠C) = 180° - (30° + 50°) = 100°.

Front

What is a linear pair of angles?

Back

A linear pair of angles is formed when two adjacent angles are created by two intersecting lines, and they are supplementary.

Front

If m∠1 = (2x + 10)° and m∠2 = (3x - 20)°, find x if ∠1 and ∠2 are supplementary.

Back

Set up the equation: (2x + 10) + (3x - 20) = 180. Solving gives x = 38.

Front

What does it mean for angles to be complementary?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

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

Back

m∠DEF is a straight angle.

Front

Calculate m∠RST if m∠RST = (12x - 1)° and x = 13.

Back

m∠RST = (12*13 - 1)° = 155°.

Front

What is the measure of an angle that is supplementary to a 70° angle?

Back

The measure of the supplementary angle is 110° (180° - 70°).

Front

If m∠ABC = 105°, what is the measure of its complement?

Back

The measure of the complement is 15° (90° - 105°).