Question

Angles 1 and 2 form a linear pair and the measure of angle two is 22 more than 4 times of the measure of angle 1. What degrees is angle 2

Answer 1

m<2= 148.4

Explanation:

A linear pair means that both angles add to 180.

m<2 = 4*m<1 +22

Together

m1 + m2 = 180

Put the value for m<2 into the above equation

m<1 + 4*m<1 + 22 = 180 Combine like terms\

5m<1 + 22 = 180 Subtract 22

5m<1 = 180 - 22

5m<1 = 158 Divide by 5

m<1 = 158/5

m<1 = 31.6

m<2 = 4*31.6 + 22

m<2 = 138.4