Question

The measure of angle 1 equals 4x-30 and the measure of angle 5 equals 2x+50. Find the measure of angle one and the measure of angle 7 and explain your reasoning or show your work.

Answer 1

the measure of angle 1 is 130 and the measure of angle 7 is 50.

Explanation:

4x-30=2x+50

x=40

plug x into angle 1

plug x into angle 5

angle seven is supplementary to 5

the measure of angle 5 is 130.

180-130=50

Angle 7= 50

Answer 2

Angle 1:
4x-30=2x+50
2x=80
X=40

4(40)-30
160-30
130 = angle 1
180-130= angle 7
50 = angle 7