Question

An angle of a parallelogram is 20 degree less than its adjacent angle find the measure of all its angles

Answer 1

Step-by-step explanation:

let it's adjacent angle be x

the angle be x-20

we know that opposite angles of a parallelogram are equal

using angle sum property

x+(x-20)+x+(x-20)=360

x+x-20+x+x-20=360

4x-40=360

4x=360+40

4x=400

x=400/4

x=100

x-20=100-20=80

therefore it's all angles=100°,80°,100° and80°

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