Question

The measure of angle 1 is 5 less than 4 times the measure of angle 2. if angle 1 and angle 2 form a linear pair, what are there measures?

Answer 1

Sum of angles in linear pair is 180
Angle 2 = x
Angle 1 = 4x -5
x+4x -5 = 180
5x -5 = 180
5x = 185
Angle 2 = x =185/5 = 37
Angle 1 = 4x -5 = 4*37 -5 = 148 -5 = 143

Answer 2

Let A be angle1, B be angle 2

A = 4B-5
A+B = 180

By substitution
(4B-5)+B = 180
5B = 185
B = 37

A = 180-37 = 143

Answer 3

thank you guys so much!