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Geometry and Trigonometry / Right triangles and trigonometry Difficulty: Medium

In the triangle shown, what is the value of $x$ ?

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Explanation

The correct answer is $45$ . An isosceles right triangle has a right angle and two legs of equal length. In the triangle shown, one angle is a right angle and the two legs each have a length of $32$ . Thus, the given triangle is an isosceles right triangle. In an isosceles right triangle, the measures of the two non-right angles are $45 degree$ . It follows that the value of $x$ is $45$ .