Afence on a hill uses vertical posts l and m to hold parallel rails n and p. if m∠1 = 6x and m∠12 = 4x, then what is the measure of ∠5?

Answer;

D: 108 degrees

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°

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step-by-step explanation: