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The ratio of the measures of the angle in a triangle is 4:10:6. Find the measures of the smallest angles

User Jecabeda
by
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1 Answer

6 votes

Answer:

36° and 54°

Explanation:

The sum of the 3 angles in a triangle = 180°

Sum the parts of the ratio, 4 + 10 + 6 = 20 parts

Divide 180 by 20 to find the value of one part of the ratio

180° ÷20 = 9° ← value of 1 part of the ratio

4 parts = 4 × 9° = 36°

10 parts = 10 × 9° = 90°

6 parts = 6 × 9° = 54°

User Siddaram H
by
7.0k points
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