Question

the angles of a quadrilateral are in the ratio 9:7:3:5. Find the angles.​

Answer 1

Step-by-step explanation:

let the angles be 9x, 7x, 3x and 5x

we know

sum of all angles= 360°

9x+7x+3x+5x= 360

24x= 360

x= 360/24 = 45/3= 15

therefore the angles are,

9x= 9×15= 135

7x= 7×15= 105

3x= 3×15= 45

5x=5×15= 75

Answer 2

Answer:

let 9,7,3,5 be 9x,7x,3x,5x.

now,

sum of all angles of quadrilateral = 360°

9x + 7x + 3x + 5x = 360°

24x = 360°

x = 360/24

x = 15°

so, 9x = 9*15 = 135°

7x = 7*15 = 105°

3x = 3*15 = 45°

5x = 5*15 = 75°

hence, all the angles are 135°, 105°, 45°, 75°.

I hope it will help full to you.

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