Question

if an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram

Answer 1

2/3x+ x = 180° ( adjucent angles are supplimentary

5x/3= 180° x= 540/5

x= 108°

so, other angle= 2/3× 180

= 72°

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Answer 2

Let one angle be x.

so other angle is 2x/3

we know that

x + 3x/2 = 180

(2x + 3x)/2 = 180

= 5x = 360

= x = 72

so 3x/2 = 3*72/2 = 108

Hence the angles of the parallelogram are 72, 72, 108, 108

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Thanks for asking.