Question

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

Answer 1

90°

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

`(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