Question

find the value of x,y​

Answer 1

Answer:

x=60°=y

Step-by-step explanation:

opposite angles are equal

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Answer 2

Answer:

x = y = 60°

Step-by-step explanation:

At first x = y because those are vertically opposite angles so we can tell that

x = y ..............................(1)

Next if you look is closely and the triangle all the angles marked as x are vertically opposite to the interior angles of the triangle from this we can tell that

The value of each interior angle of the triangle is = x ........................(2)

From equation (1) & (2)

We can tell that value of each interior triangle are same because they are equal to y.

According to angle sum property of a triangle the sum of all angles of a triangle is equal to 180⁰

Now if we come to our triangle,

y + y + y = 180°

⇒ 3y      = 180°

⇒ y        =  $(\frac{180}{3} )$

⇒ y        =   60°

Now substituting the value of y in Equation(1)

x = y = 60°

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