Question 147

If the angles of a triangle are in the ratio 2:3:5, then the measure of the least angle of the triangle is

Solution

Given, angles of the triangle are in the ratio 2:3:5

Let the angles of the triangle are 2p, 3p, 5p respectively

$$=$$> 2p + 3p + 5p = $$180^{\circ\ }$$

$$=$$> 10p = $$180^{\circ\ }$$

$$=$$> p = $$18^{\circ\ }$$

$$\therefore\ $$Least angle of the triangle = 2p = $$2\left(18^{\circ\ }\right)$$ = $$36^{\circ\ }$$

Hence, the correct answer is Option B

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