Question

8. If an angle of a parallelogram is two-third of its adjacent angle, then the angles of the parallelogram are a) 37 degrees 143 degrees 37 degrees , 143 degrees b) 108 degrees 72 degrees , 108 degrees , 72 degrees c) 68 degrees , 112 degrees , 68 degrees , 112 degrees d) none of these​

Answer 1

Answer: (b)

let the angles be 2x and 3x as ratio of angles is given to be 2/3 or 2:3.

then, 2x+ 3x = 5x = 180° as adjacent angles of parallelogram are supplementary.

So, x= 180/5 = 36°

so the angles are 72° and 108°

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