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

What do we call the point where two rays meet?

Back

The point where two rays meet is called the vertex.

Front

An angle is made up of two _____________ that share a common ________________.

Back

rays, endpoint.

Front

Name the vertex of the angle formed by rays AB and AC.

Back

The vertex is point A.

Front

If m∠A = 25°, what is m∠B if m∠A + m∠B = 90°?

Back

m∠B = 90° - m∠A = 90° - 25° = 65°.

Front

What is the measure of a right angle?

Back

A right angle measures 90°.

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

If m∠1 = 30° and m∠2 = 60°, what is m∠3 if m∠1 + m∠2 + m∠3 = 180°?

Back

m∠3 = 180° - (m∠1 + m∠2) = 180° - (30° + 60°) = 90°.

Front

What is the difference between acute and obtuse angles?

Back

An acute angle measures less than 90°, while an obtuse angle measures more than 90° but less than 180°.