Question

one angle of a parallelogram is 45° more than its adjacent angle. Find the angles of the parallelogram. Do step by step​

Answer 1

Answer:

let the adjacent angle be x°

one angle=x+45°

let angle a=x° and angle b =x+45°

we know that adjacent angles of parallelogram are supplementary

thus

x+x+45° =180°

2x=180-45°

2x=135°

x=135/2°

x=67.5°

thus angle a is 67.5° .

thus angle b=x+45°

                    =67.5+45°

                     =112.5°

angle b = angle d = 112.5°  [ opposite angles are equal in parallelogram]

angle c = angle a =67.5°   [opposite angles are equal in parallelogram].