Question

The angles of a triangle have the ratio 3:2:1. What is the measure of the smallest angle?

Answer 1

Solution:

Let A,B and C are 3 angles of

a triangle ABC,

A:B:C = 3:2:1 [ given ]

Let A = 3x ,

B = 2x ,

C = x

A + B + C = 180°

[ angle sum property]

=> 3x + 2x + x = 180°

=> 6x = 180°

=> x = 180/6

=> x = 30

Therefore,

Smallest angle = C = x = 30°

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Answer 2

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The answer is attached.

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