Question

Two adjacent angles of a parallelogram are in the ratio 5:7. Find the measure of all the angles​

Answer 1

Answer:

Step-by-step explanation:

Let the angles be 5x and 7x

ATQ,

=> 5x+5x+7x+7x=360 (ASP of a parallelogram)

=> 24x=360

=> x=360/24

=> x= 15

So, 5x= 5x15=75

7x=7x15=105

Therfore, all the angles are 75, 105, 75, 105 degrees

Answer 2

Answer: x +x = 180

let the numbers be 5x and 7x respectively.......

so,5x + 7x = 180

12x = 180

x = 180/12

  = 15

therefore angle 1 = 15 × 5 = 75

                 angle 2 = 15 × 75 = 105

                 angle 3 = 75

                 angle 4 = 105

The angles are 75,105,75,105 degrees

hope it helps you

have a great day....