Q. 94.4( 5 Votes )

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

Answer :

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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