Question

The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the measure of the largest angle in the triangle?

A.60
B.72
C.120
D.132

Answer 1

B

Explanation:

sum the parts of the ratio, 4 + 5 + 6 = 15 parts

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

divide this by 15 to find the value of one part of the ratio.

180° ÷ 15 = 12° , then

6 parts = 6 × 12° = 72° ← largest angle in triangle