Question

Adjacent angles of a parallelogram are in the ratio of 2:7. Find their values.​

Answer 1

Let the angles be 2x and x

∠A + ∠B = 2x + x = 180° (Adjacent angles of parallelograms are supplementary)

2x+x=180°

3x=180°

x=180°/3=60°

⇒ ∠A=2x=60×2=120°

⇒ ∠B=60°

⇒ ∠C=∠A=120° (Opposite angles of parallelogram)

∠D=∠B=60° (Opposite angles of parallelogram)