Question

In triangle PQR angle P=2 angle Q and 2 angle R =3 angle Q,calculate the angles of triangle PQR

Answer 1

We know that ,
Sum of the angles of a triangle is 180

So ,
P +Q+R=180
=>2Q+Q+R = 180
=> 4Q+2Q+2R=360
=> 4Q+2Q+3Q= 360
=> 9Q=360
=> Q= 40

So, P = 2×40
P= 80

R = 180-80-40
R=60

Thus , P= 80 , Q = 40 and R = 60

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