Question

Find the measure of angle 7

Measure of angle 7= 2x + 15
Measure of angle 8= 3x

Answer 1

Assuming ∠6 and angle ∠8 are vertical angles, then
m∠6 = m∠8
m∠6 + m∠7 = m∠7 + m∠8 = 180

2x + 15 + 3x = 180
5x = 165
x = 33

m∠7 = 2(33)+15 = 81
m∠8 = 3(33) = 99

m∠6 = m∠8 = 99