the ratio of the measures of three angles in a triangle is 10:3:7 find the measure of the largest angle

Mathematics

1 answer:

emmainna [20.7K]3 years ago

4 0

Answer:

90°

Step-by-step explanation:

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

sum the parts of the ratio 10 + 3 + 7 = 20

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

$\frac{180}{20}$ = 9° ← 1 part of the ratio

the largest angle is the one with 10 parts of the ratio, hence

10 parts = 10 × 9° = 90° ← largest angle

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