Question

in triangle angle p is equal to 2 angle q&2 angle R is equal to 3 angle q then find triangle pqr​

Answer 1

${\huge{\underline{\underline{\mathfrak{\red{Solution:-}}}}}}$

In ΔPQR, ∠P = 2*∠Q and, 2*∠R = 3*∠Q

We know that sum of three angle 180 degree. i.e ∠P + ∠Q + ∠R = 180

∠Q = ∠P/2...(1)

And, ∠R = 3*∠Q /2

     or, ∠R = 3*∠P/4...(2)

Then, from the values of (1) and (2), ∠P + ∠P/2 + 3*∠P/4 = 180

                                                       Or, ∠P* (1 + 1/2 + 3/4) = 180

                                                       Or, ∠P = 80

From (1), ∠Q = 40 and from (2) ∠R = 60.

Answer: ∠P = 80, ∠Q = 40, ∠R = 60.