Answer:
m∠3 = 115°
Step-by-step explanation:
Since measure of angle 6 = (2x - 5)°
And measure of angle 8 = (x + 5)°
Since ∠6 and ∠8 are the supplementary angles,
m∠6 + m∠8 = 180°
(2x - 5)° + (x + 5)° = 180°
3x = 180°
x = 60°
Therefore, m∠6 = (2x - 5) = (120 - 5) = 115°
and m∠8 = (x + 5) = 65°
Since angle 6 and angle 3 are interior alternate angles,
Therefore, m∠6 = m∠3 = 115° will be the answer.
