Question

The adjacent angles of a parallelogram are in
the ratio 4:5. Find all the angles,​

Answer 1

Answer:

Step-by-step explanation:

sum of the adjacent angles in any parallelogram= 180

ratio of adjacent angles = 4:5 (given)

let first angle = 4x

second angle = 5x

4x+5x=180

9x=180

x=180/9

x= 20

therefore

required angles are

first angle = 4x= 4*20 =80

second angle = 5x= 5*20 =100

Answer 2

Answer:

the sum of the adjacent angles of a parallelogram is 180°

they are in the ratio 4:5

one angle is 4/(4+5)×180°

=4/9.180°=4.20°=80°

the another angle is 5/(4+5).180°

=5/9.180°

=5.20°=100°