Math, asked by jina44, 1 month ago

Find x in the following​

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Answers

Answered by rajeshmishra51
2

Step-by-step explanation:

2y+2y+5y= 180 (Linear angles)

9y= 180

y= 20

now,

2y+2y+x= 180 (same as above)

therefore,

4y+x = 180

4(20)+x = 180

80+x = 180

x = 180 -80 = 100 Answer

hope it helps

Answered by SattwikRay
1

Answer:

To find the value of x, we have to first find the value of y.

So,

2y + 2y + 5y = 180° (Linear pair property)

⇒ 9y = 180°

⇒ y = 180°/9

⇒ y = 20°

So, by substituting the value of y to 20, we will get the actual measure of the angle.

⇒ 2y = 2 x 20 = 40°

⇒ 5y = 5 x 20 = 100°

And now,

x = 5y (Vertically opposite angle property)

⇒ x = 100°

∴ The measure of x in the given figure is 100°

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