Question

If measure of angle T= (2x + 85), measure of angle V= (5x + 29), and

the sum of the measures of the angles is
93°, find the measure of each angle.

Answer 1

An alternate interior angle, c, 180 degrees

Explanation:

did it

Answer 2

Answers:

Angle T = 79 degrees

Angle V = 14 degrees

=========================================================

Work Shown:

T + V = 93

(2x+85) + (5x+29) = 93

7x+114 = 93

7x = 93-114

7x = -21

x = -21/7

x = -3

This x value is used to find each angle mentioned.

• Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degrees
• Angle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees

As a check, T+V = 79+14 = 93 which confirms our answers.