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.
∠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.
2 answers
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
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