∠1 and ∠2 form a linear pair. If m∠1 = 3x - 8 and m∠2 = 5x + 4, find the measure of each angle. The diagram is not to scale.

Answer 1

a linear pair sums to a straight angle. So, you need

3x-8 + 5x+4 = 180

Solve for x, and use that to get the angle measures.

Answer 2

Add like terms:3x+5x=8x,-8+4=-4

you get, 8x-4=180

add 4 to both sides

8x=184

divide

x=23

sub in answers

3*23-8=61

5*23+4=119

add them together

119+61=180