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21-07-2020
Mathematics

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The ratio of the measures of the acute angles of a right triangle is 8:1. In degrees, what is the measure of the largest angle of the triangle?

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sqdancefan sqdancefan

26-07-2020

Answer:

80°

Step-by-step explanation:

The sum of the measures of the acute angles in a right triangle is 90°. The sum of ratio measures in the ratio 8 : 1 is (8+1) = 9. Thus, each of those measures stands for 90°/9 = 10°. Then the angle ratio is ...

80° : 10° = 8 : 1

The measure of the largest acute angle in the triangle is ...

10° × 8 = 80°

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