Question

the measure of angle 1 is five less than four times the measure of angle 2. if angle 1 and angle 2 form a linear pair, what are their measures?

Answer 1

first, represent unknowns with variables.
let x = measure of angle 2
let 4x-5 = measure of angle 1 (according to the first statement of problem)
then set-up the equation. since the angles form a linear pair, their sum must be equal to 180. thus,
x + 4x - 5 = 180
5x = 180 + 5
5x = 185
x = 37 degrees (measure of angle 2)
4x-5 = 143 degrees (measure of angle 1)

hope this helps~ :)