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castortr0y [4]
3 years ago
5

How to solve for x and y

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

<u>Answer-</u>

<em>The values of </em><em>x and y are 20° and 30</em><em>, respectively.</em>

<u>Solution-</u>

As in the given triangle all the angles are same so it must a equilateral triangle.

In an equilateral triangle all the measurements of the angles and side length are same. The measurement of the angels are 60°.

As given in the question one side length is 46, so all the side length are same.

So,

\Rightarrow y+16=46\\\\\Rightarrow y=46-16\\\\\Rightarrow y=30

We know that an exterior angle of a triangle is equal to the sum of the opposite interior angles. 80° is the exterior angle opposite to x and one angle of triangle at the top vertex.

\Rightarrow 80^{\circ}=x+60^{\circ}

\Rightarrow x=80^{\circ}-60^{\circ}

\Rightarrow x=20^{\circ}

Therefore, the values of x and y are 20° and 30, respectively.

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