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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

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 A60 B72 C120 D132 class=

Respuesta :

Answer:

B

Step-by-step 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

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