Math, asked by gjellijoeledwipcxwq5, 1 year ago

In the given figure, anglePOM and angleQOM forms a linear pair. If x - 2y = 30 degrees, find x and y. ​

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Answered by sayyedowais786
16
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Answered by erinna
5

The value of x is 130 and y is 50.

Step-by-step explanation:

Given information: ∠POM and ∠QOM forms a linear pair, x - 2y = 30°.

\angle POM+\angle QOM=180                (Linear pair)

x+y=180         .... (1)

x-2y=30          .... (2)

Subtract equation (2) from equation (1).

x+y-(x-2y)=180-30

x+y-x+2y=150

3y=150

Divide both sides by 3.

y=50

Substitute y=50 in equation (1).

x+50=180

x=180-50

x=130

Therefore, the value of x is 130 and y is 50.

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