Question

Two adjacent angles of a parallelogram is1:1, find the measure of all angles

Answer 1

let the common factor be x
x+x= 180° (adjacent angles of a parallelogram are supplementary)
2x=180°
x= 90°
it becomes a rectangle, and all angles become 90° each

Answer 2

Let there be 4 angles

A

B

C

D

Adjacent angles of a parallelogram are supplementary.

A+B = B+C = C+D = D+A = 180°

A:B, B:C, C:D and D:A are all 1:1

Let the common factor in ratios be 'x'

2x=180

x=90

So, A, B, C and D all are 90°