Question

In the given figure, l || m and t is a transversal. If ∠1 and ∠2 are in the ratio 5 : 7, find the measure of each of the angles ∠1, ∠2, ∠3 and ∠8.

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Answer 1

Step-by-step explanation:

let the <1 be 5x and <2 be 7x

5x+7x = 180°

12x = 180°

x = 180 / 12

x = 15

<1 = 5x = 5×15 = 75°

<2 = 7x = 7×15 = 105°

<4 = <2 = 105° ( vertically opposite angle)

<3 = <1 = 75° ( vertically opposite angle)