Question

the measure of the angles of a triangle are in the ratio 5:6:7. find the measure of the largest angle

Answer 1

70°

add the parts of the ratio 5 + 6 + 7 = 18

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

divide 180 by 18 to find 1 part of the ratio

$\frac{180}{18}$ = 10° ← 1 part of ratio

5 parts = 5 × 10 = 50°

6 parts = 6 × 10 = 60°

7 parts = 7 × 10 = 70° ← largest angle

note that 50° + 60° + 70° = 180° ← check

Answer 2

The answer is 70 hope this helps