Angle Addition Postulate

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point M is in the interior of angle ∠LKN, then m∠LKM + m∠MKP = m∠LKN.

Front

If m∠NML = 138° and m∠EML = 88°, how do you find m∠NME?

Back

Use the Angle Addition Postulate: m∠NME = m∠NML - m∠EML = 138° - 88° = 50°.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°.

Front

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, how do you find the measures of each angle if they are supplementary?

Back

Set up the equation: (5x + 9) + (3x + 11) = 180. Solve for x, then substitute back to find m∠1 and m∠2.

Front

What is the equation for the Angle Addition Postulate in a triangle?

Back

For angles ∠FGB, ∠BGH, and ∠FGH, the equation is m∠FGB + m∠BGH = m∠FGH.

Front

How do you solve for x in the equation m∠RST = (15x - 4)° and m∠RSU = (10x + 3)° if m∠UST = 48°?

Back

Set up the equation: (15x - 4) + (10x + 3) + 48 = 180. Solve for x.

Front

What is the measure of a straight angle?

Back

A straight angle measures 180°.

Front

If m∠DEF is calculated to be 180°, what does this indicate about the angle?

Back

It indicates that ∠DEF is a straight angle.

Front

What is the relationship between complementary angles?

Back

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

Front

How do you find the measure of an angle if you know its supplementary angle?

Back

Subtract the measure of the known angle from 180°.