Question

in triangle pqr is equal to q and 2 hour is equal to 3 q calculate the angles of triangle PQR​

Answer 1

Answer:

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.

∠P = 80, ∠Q = 40, ∠R = 60.

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Answer 2

Answer:

Given,

<PQR = q

3q = 2hr = 60×2= 120

So, 3q=120

or, q =120/3

or, q = 40

so, <PQR = 40 DEGREE