Geom. help plz? i get some of it, but need help with the equation?

Question

The measure of <1 is 5 less than 4 times the measure of <2. if <1 AND <2 form a linear pair, what are their measures? i think that means both equal 180, but not exactly sure how to set it up?

Answer 1

let angle 2 = x

then angle 1 = 4x - 5

x + 4x - 5 = 180

5x = 185

x = 37°

(4x - 5) = (180 - 37)°