Question

in a parallelogram pqrs ,if angle qrs=2x,anglepqs=4x and angle psq=4x,find the angles of the parallelogram​

Answer 1

Step-by-step explanation:

as we know the opposite angles of a parallelogram are equal.

then, angle qrs must be equal to angle spq.i.e, 2x.

Total angle sum of parallelogram is 360°.

2x+2x+4x+4x=360°

4x+8x=360°

12x=360°

x=360/12

x=30°

then the angles are

2x=2×30°=60°

4x=4×30°=120°

hence the angles are 60°,60°,120°,120°.