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

Calculate m∠ABC if m∠ABD = 60° and m∠DBC = 45°.

Back

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

Front

If ∠1 and ∠2 form a linear pair, what is the relationship between their measures?

Back

The measures of ∠1 and ∠2 add up to 180°.

Front

Find the value of ∠A if m∠A + m∠B = 90° and m∠B = 65°.

Back

m∠A = 90° - 65° = 25°.

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.

Front

Calculate m∠DEF if m∠D = 60° and m∠E = 120°.

Back

m∠DEF = m∠D + m∠E = 60° + 120° = 180°.

Front

What is the measure of an angle that is complementary to 35°?

Back

The measure of the complementary angle is 90° - 35° = 55°.

Front

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find x if they form a linear pair.

Back

Set up the equation: (5x + 9) + (3x + 11) = 180. Solving gives x = 21.

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

What is the definition of complementary angles?

Back

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