Answer:
Measure of ∠5 is 108°
Step-by-step explanation:
Given m∠1 = 6x and m∠12 = 4x, we have to find the measure of ∠5.
As ∠1 and ∠5 are alternate exterior angle hence equal i.e ∠1=∠5
Also, ∠5 and ∠12 are co-interior angles ∴these are supplementary
⇒ m∠5+m∠12=180°
⇒ 6x+4x=180°
⇒ 10x = 180° ⇒ x=18
∴ m∠5 = 6x = 6(18) = 108°
Hence, measure of ∠5 is 108°
