Question

The adjacent angles of a parallelogram are in the ratio 5:4.Find all the angles.

Answer 1

Let ABCD be the given parallelogram

Then, Angle A and angle B are its adjacent angles.

Let angle A =(5x)°

And angle B =(4x) °. Then,

Angle A +angle B=180°

=5x+4x=180

=9x=180

=x=180/9=20

Therefore,

Angle A=5x=(5×20)°=100°

Angle B=4x=(4×20)°=80°

Also, Angle B +Angle C=180°as angle B and angle C are adjacent angles.

=80°+Angle C=180°

=angle C=(180°-80°)=100°

Also, Angle C +Angle D =180° as. angle C and angle D are adjacent angles.

=100°+angle D=180°

=angle D=(180°-100°)=80°

Therefore, Angle A=100°,

Angle B=80°,Angle C=100° and angle

D=80°

Hope it helps......

^_^