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Question

The angle of a triangle are in the ratio 2 : 3 : 4. The largest angle of the triangle is

(a) 120

(b) 100

(c) 80

(d) 60


Solution

ANSWER:
Suppose ∆ABC be such that ∠A : ∠B : ∠C = 2 : 3 : 4.
Let ∠A = 2k , ∠B = 3k and ∠C = 4k , where k is some constant.
In ∆ABC,
A+B+C=180 
(Angle sum property)
2k+3k+4k=180 
9k=180 
k=20 
∴ Measure of the largest angle =4k=4×20 =80 
Hence, the correct answer is option (c).

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