Question

angle A = 4 x Angle B = 5 x find all angles of parallelogram ABCD​

Answer 1

Answer:

A=80

B=100

and their opposite angles equal

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Answer 2

Solution:-

Angle A= 4x

Angle B= 5x

So, In a parallelogram, adjacent angles add up to 180°

Therefore:-

Angle A + Angle B = 180°

4x+5x = 180°

9x = 180°

x = 180°/9

x = 20

Therefore; Angle A= 4x = 4*20= 80

Angle B= 5x = 5*20= 100

And so, as opposite angles of a parallelogram are equal;

Angle A = Angle D

80°= Angle D

Angle B = Angle C

100° = Angle C

Ans. :- Angle A = 80°

Angle B = 100°

Angle C = 80°

Angle D = 100°