We are given a circle with a triangle inscribed in it. One side of the triangle is a diameter of the circle. We need to find the measure of the angle $x$ opposite to the diameter.

GeometryCirclesTrianglesInscribed AngleRight Triangles
2025/3/28

1. Problem Description

We are given a circle with a triangle inscribed in it. One side of the triangle is a diameter of the circle. We need to find the measure of the angle xx opposite to the diameter.

2. Solution Steps

Since one side of the triangle is a diameter of the circle, the triangle is a right triangle. The angle opposite the diameter is the right angle.
Therefore, x=90x = 90^{\circ}.

3. Final Answer

x=90x = 90

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