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Describing Triangles

Describing Triangles 1.17 - Solution

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First, we'll illustrate the given information in a diagram. If we let be the measure of the smaller acute angle, then the measure of the larger acute angle is

According to the interior angles theorem the sum of the interior angles of a triangle is Let's keep in mind that the right angle has the measure Let's solve this equation.
The measure of the smaller acute angle is Now, we can find the measure of the greater acute angle.