Question

PLZZZ HELP!!!!!!!!!!!!

Two angles are a linear pair. The measure of one angle is 5 more than 3/4 of the other. Find the measure of both angles.

Answer 1

Angle 1: 100

Angle 2: 80

Explanation:

A linear pair of angles is formed when two lines intersect. The measure of a straight angle is 180 degrees, so a linear pair of angles is equal to 180 degrees.

Angle 1: x

Angle 2: (x * 3/4) + 5

x + (x * 3/4) + 5 = 180

x + 3/4x + 5 = 180

1 3/4x + 5 - 5 = 180 - 5

1 3/4x = 175

1 3/4x / 1 3/4 = 175 / 1 3/4

x = 100

Check:

(x * 3/4) + 5

(100 * 3/4) + 5

75 + 5

80

100 + 80 = 180