A line segment that has both endpoints on the circle and passes through the center of the circle
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<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,
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.
Therefore, the values of x and y are 20° and 30, respectively.