Question

The four angles of a quadrilateral are in the ratio 1:2:4:5.Find the measure of each angle

Answer 1

   

Let the angles be x, 2x, 4x and 5x.

Sum of interior angles of a quadrilateral is 360°.

⇒ x + 2x + 4x + 5x = 360°

⇒ 12x = 360°

⇒ x = 30°

⇒ 2x = 60°

⇒ 4x = 120°

⇒ 5x = 150°

Thank you. :-))

#adithyasajeevan

         

Answer 2

here is ur answer----------------❤❤

➡let the angles be 1x,2x,4x,5x

then the sum of all angles in the quadrilateral is 360°

➡so,1x+2x+4x+5x=360

12x=360

x=360/12=30°

➡then 1x=1*30=30°

2x=2*30=60°

4x=4*30=120°

5x=5*30=150°

❤❤hope it helps u dear......❤❤❤