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Describing Triangles

Describing Triangles 1.16 - Solution

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Let be the measure of the smaller acute angle. Therefore, the measure of the larger acute angle is Let's illustrate this information with a diagram.

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 by substituting this value in
The measure of the larger acute angle is