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In figure, the value of y is ____ $∘$ .

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Detailed Solution

In figure, the value of y is 30

∘

Given a figure.
As we know that, the straight angle measure

180 ∘

.
Linear pair property states that the sum of angles of a linear pair is always equal to 180°.

3 x + y + 2 x = 180 ° (Linear pair) ⇒ 5 x + y = 180 ° A s, y = x (Vertically opposite angle) ⇒ 5 x + x = 180 ° ⇒ 6 x = 180 ° ⇒ x = 180 ° 6 x ⇒ x = 30 °

Hence,

y = x = 30 °

.
Hence, the measure of y is 30°.

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