In the given figure,find values of x and y is

a)30*

b)60*

c)90*

d)120*

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Given: All the exterior angles are equal. 

To find: We have to find the values of x and y.

Solution: 

$∠x = ∠x ; ∠x = ∠y$ [vertically opposite angles]

All the three angles of the triangle are equal to ∠$x$

So from angle sum property of triangle

$∠x + ∠x + ∠x = 180°$  OR  $3∠x = 180°$ OR $∠x = \frac{180°}{3} = 60°$ 

$∠x = 60°$ and $∠y = 60°$ 

Option b) 60° each is CORRECT

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Updated on: 10-Oct-2022

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