# Of the three angles of a triangle, one is twice the smallest and mother one is thrice the smallest. Find the angle.

60°, 90°, 30°

Let P, Q and R are three angles of triangle PQR,

And P is the smallest angle.

Now,

Q = 2 P ________________ (i)

R = 3 P ________________ (ii)

We know that sum of angles of triangle = 180°

P + Q + R = 180° [Sum of angles]

P + 2 P + 3 P = 180° [From equation (i) and (ii)]

6 P = 180°

P = 30°

Therefore,

Q = 2 P = 60° [from equation (i)]

R = 3 P = 90° [from equation (ii)]

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