Question

in a paralellogram one angle is four times its adjacent angle.find all the angles of parallelogram​

Answer 1

Answer:

let one angle be x

it's adjacent angle = 4x

In a parallelogram, opposite angles are equal

so, x+4x+x+4x = 360° (angle sum property of a quadrilateral)

=> 10x = 360°

=> x = 360°/10

=> x = 36°

it's adjacent angle is 4x= 4 × 36° = 144°

hence,all the angles are 36°,144°,36° and 144°

I hope it helps you.