1.4 Angle Addition Postulate

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point D is in the interior of angle ABC, then m∠ABD + m∠DBC = m∠ABC.

Front

If ∠A and ∠B are adjacent angles, what is the relationship between them?

Back

Adjacent angles share a common side and vertex, and their measures can be added together to find the measure of the larger angle they form.

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles whose non-common sides form a straight line. The sum of their measures is 180 degrees.

Front

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

Back

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

Front

What is the measure of a straight angle?

Back

A straight angle measures 180 degrees.

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 degrees.

Front

If ∠CBA is bisected by ray BD, what can be said about the measures of ∠CBA and ∠ABD?

Back

m∠CBA = 2 * m∠ABD.

Front

What is the measure of an angle if it is supplementary to a 70-degree angle?

Back

The measure of the angle is 110 degrees, since 180 - 70 = 110.

Front

If m∠A = 25 degrees and m∠B = 30 degrees, what is m∠A + m∠B?

Back

m∠A + m∠B = 55 degrees.

Front

What is the formula to find the measure of an angle formed by two intersecting lines?

Back

The measure of an angle formed by two intersecting lines is equal to the sum of the measures of the opposite angles.