Question

Two angles of a parallelogram are the ratio 5:4
Find the angles of the parallelogram.​

Answer 1

Answer:

1. sum of two angles of parallogram is equal to 180
2. 5/4=180

Answer 2

we know that,

adjacent angles of a parallelogram are supplementary

thus,

5x+4x=180°

9x=180

x=180/9

x=20

thus,

5x=5×20

=100°

4x=4×20

=80°

we also know that opposite angles are also equal

therefore, the angles are 100°,80°,100°,80°

verification -

sum of angles in a quadrilateral =360°

100°+80°+100°+80°=360°

360°=360°