Question

If three angles of a triangle are in the ration 2:3:10, then the smallest angle is​

Answer 1

Answer:

2+3+10=15 . Therefore the smallest angle is 2⋅12∘=24∘ .

Answer 2

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let all the ratio be x

BY ANGLE SUM PROPERTY OF TRIANGLE

A + B + C = 180°

2x + 3x + 10x = 180°

15x = 180°

x = 180/15

x = 12°

2x = 2 × 12 = 24°

3x = 3 × 12 = 36°

10x = 10 × 12 = 120°

HENCE , SMALLEST ANGLE US 24°