Question

In a parallelogram one angle is 4/5th of the adjacent angle .Represent the situation algebraically and graphically.

Answer 1

let one of the angle be x
x + 4x/5 = 180
9x =900
x = 100
Therefore angles of the parallelogram are 100,80,100,80 respectively

Answer 2

Answer:

x  + 4x/5 = 180°

100° & 80°

Step-by-step explanation:

In a parallelogram one angle is 4/5th of the adjacent angle

Let say one angle is x

then adjacent angle = (4/5) x = 4x /5

in a parallelogram sum of adjacent angles = 180°

=> x  + 4x/5 = 180°

=> 5x + 4x = 900°

=> 9x = 900°

=> x = 100°

4x/5 = 80°