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Describing Triangles

Describing Triangles 1.12 - Solution

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We want to find the value of and the measures of the interior angles for the given triangle.

The interior angles theorem tells us that the measures of the interior angles of a triangle must add to Applying the theorem, we can create an equation by adding the given expressions and equating the sum to We notice that one of the angles is a right angle, and therefore its measure is Let's solve the equation for
Now that we know the value of we can substitute into the given expressions to find the angle measures of the triangle.