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3 years ago

The angle measures of a triangle are in the ratio 5:6:7. find the angle measures of the triangle

Mathematics

1 answer:

Mandarinka [93]3 years ago

4 0

Answer:

50°, 60°, 70°

Step-by-step explanation:

Sum the parts of the ratio, 5 + 6 + 7 = 18 parts

The 3 angles in a triangle sum to 180° , then

180° ÷ 18 = 10° ← value of 1 part of the ratio, then

5 parts = 5 × 10° = 50°

6 parts = 6 × 10° = 60°

7 parts = 7 × 10° = 70°

The angle measures of the triangle are 50° , 60° , 70°

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Step-by-step explanation:

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