Linear Angle question

Question

<3 and <4 form a linear pair. The measure of angle 3 is 4 more then three times the measure of angle 4. Find the measure of each angle.

Answer 1

∠3+∠4=180 because they are a linear pair.

∠3=3•∠4 +4 according to the information.

Substitute the second equation in for ∠3 in the first equation.

3•∠4 +4 +∠4=180

4• ∠4 +4=180

4• ∠4 = 176

∠4=44

Substitute that value back into the first equation to solve for ∠3.

∠3 +44 =180

∠3 = 136