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Question

If the measures of angles of a triangle are in the ratio of 3 : 4 : 5, what is the measure of the smallest angle of the triangle?

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Solution

Ratio in the measures of the triangle =3 : 4 : 5

Sum jof angles of a triangle =180

Let angles be 3x, 4x,5x

Sum of angles =3x+4x+5x=12x

Smallest angle =180×3x12x=45


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