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

What is a linear pair of angles?

Back

A linear pair of angles is a pair of adjacent angles formed when two lines intersect. The angles are supplementary, meaning their measures add up to 180°.

Front

If m∠1 + m∠2 = 180°, what can we say about ∠1 and ∠2?

Back

∠1 and ∠2 are supplementary angles.

Front

What is the measure of a straight angle?

Back

A straight angle measures 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

Calculate m∠XYZ if m∠X = 40° and m∠Y = 50°.

Back

m∠XYZ = m∠X + m∠Y = 40° + 50° = 90°.

Front

What is the relationship between vertical angles?

Back

Vertical angles are equal; if two lines intersect, the opposite angles formed are congruent.

Front

If m∠A + m∠B = 180° and ∠A and ∠B are a linear pair, what can we conclude?

Back

∠A and ∠B are supplementary angles.

Front

Find m∠DEF if m∠D = 70° and m∠E = 40°.

Back

m∠DEF = m∠D + m∠E = 70° + 40° = 110°.

Front

What is the measure of an angle that is supplementary to a 65° angle?

Back

The measure of the supplementary angle is 180° - 65° = 115°.