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Question

The angles of a triangle are in the ratio 1:2:3. The measure of the largest angle is
(a) 30
(b) 60
(c) 90
(d) 120

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Solution

The correct option is (c): 90

Given: Angles of a triangle in the ratio 1:2:3

Let the common multiplying factor to these angles be x.

so, the angles will be x,2x, and 3x.

We know that the sum of all the angles of a triangle is equal to 180.

x+2x+3x=180

6x=180

x=1806

x=30

so, Largest angle =3x=3×30=90


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