Answer :

The value of Q is 78

Given that the three internal angles of the triangle are,

P = 3x + 8

Q = 2x

R = 67

Sum of all the internals angles in a triangle = 180

i.e., P + Q + R = 180

Substitute the given values in above equation. We get,

(3x+ 8) + 2x + 67 = 180

3x + 2x + 8 + 67 = 180

5x + 75 = 180

5x = 180 -75 = 105

i.e., x = 105/5 = 39

Now,

P = 3x + 8 = 3(39) + 8

So, P = 117

Q = 2x = 2(39)

So, Q = 78

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