Question

the measures of two adjacent angles of a parallelogram in are in the ratio 4:5 the measure of each of the angle of the parallelogram

Answer 1

let ,the angles be 4x and 5x

4x + 5x = 180° [since , the sum of adjacent angles in a parallelogram = 180°]

==> 9x = 180°

==> x = 180°/9

==> x = 20°

Hence , the angles are
4×20° = 80°
and
5×20° = 100°

Since , in a parallelogram opposite angles are equal ,
hence, among all the four angles- two of them are 80° and the rest two are 100° respectively.

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