In ΔPQR ∠P= 2 ∠Q and 2 ∠R =3 ∠Q , calculate the angles of ΔP – InterviewSolution

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In ΔPQR ∠P= 2 ∠Q and 2 ∠R =3 ∠Q , calculate the angles of ΔPQR.

Answer»

In ΔPQR

∠P + ∠Q + ∠R = 180° also

∠P:∠Q:∠R = 2∠Q:∠Q: 3/2 ∠Q = 4 : 2 : 3

Sum of the term of the ratio = 4 + 2 + 3 = 9

∠P = 4/9 x 180° = 80°

∠Q = 2/9 x 180° = 40°

∠R = 3/9 x 180° = 60°

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