The measure of an exterior angle of a right triangle is 135 degrees. Find the measures of the interior angles of the triangle.

Question

Keith Blackwell

Mathematics

11 January, 07:22

The measure of an exterior angle of a right triangle is 135 degrees. Find the measures of the interior angles of the triangle.

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Edwin Erickson · Answer 1

The measure of the interior angles of the right triangle are 90 degrees, 67.5 degrees, and 67.5 degrees. The exterior angle of a triangle can be found by the sum of the opposite angles in the triangle so 135/2 = the angles you need and 67.5 + 67.5 + 90 = 180.