Question

if two adjacent angle of a parallelogram are in the ratio 4:5, then find the measure of all angle

Answer 1

Answer:

here it is

Step-by-step explanation:

Two consecutive angles are supplements; one acute, the other obtuse.

 sum of adjacent angle in a parallelogram = 180 degrees

By data, they are in the ratio of 4:5 = 4x:5x.

So, 4x+5x = 180°

9x = 180°

x = 20°

4x = 80° and 5x = 100°

the vertically opposite angle is equal

therefore the angles are  80 , 80 , 100 , 100

80+80+100+100= 360 degrees

hence proved