1.4 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

If m∠RST = (12x - 1)° and m∠RSU = (9x - 15)°, what is the equation to find x if m∠UST = 53°?

Back

12x - 1 + 9x - 15 + 53 = 180.

Front

What are complementary angles?

Back

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

Front

If m∠K = (3x + 3)° and m∠L = (10x - 4)°, how do you find the measures of angles K and L if they are complementary?

Back

Set up the equation: (3x + 3) + (10x - 4) = 90.

Front

What is a linear pair of angles?

Back

A linear pair of angles are two adjacent angles that form a straight line, meaning their measures add up to 180 degrees.

Front

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, how do you find the measures of angles 1 and 2 if they form a linear pair?

Back

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

Front

What is the measure of an angle if it is given as 25 degrees?

Back

The angle measures 25 degrees.

Front

What is the relationship between angles that are supplementary?

Back

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

Front

If m∠RST = 155°, what is the value of x in the equation m∠RST = (12x - 1)?

Back

Set up the equation: 12x - 1 = 155, then solve for x.

Front

What is another name for an angle?

Back

An angle can be referred to by any of its vertex points and the points on its sides, such as ∠LHG for ∠H.