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  • In the given figure, line l and m are parallel to each otherand a transversal t cuts them. If ∠1:∠2 = 2:3, then measure of ∠5 is <img alt="" src="https://cdn.entranc

In the given figure, line l and m are parallel to each otherand a transversal t cuts them. If ∠1:∠2 = 2:3, then measure of ∠5 is

Option: 1

120°


Option: 2

60°


Option: 3

108°


Option: 4

72°


Answers (1)

best_answer

 

Let ∠1 = 2x and ∠2 = 3x

Clearly, the ray t stands on line l.

∠1 + ∠2 = 180°.     (Linear pair of angle)

or, 2x + 3x = 180°.

x = 36°.

∠1 = 2x = 72°

∠2 = 3x = 108°

∠2 = ∠4     (Vertically opposite angle)

So, ∠4 = 108°

From the theorem

∠4  + ∠5  = 180°

So, ∠5  = 72°

 

Posted by

Sanket Gandhi

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