Question

The angles of a quadrilateral are in the ratio 2:4 5:7 find the value of smallest angle.​

Answer 1

Answer:

1 Answer 0 votes answered Apr 24, 2020 by Vevek01 (47.2k points) selected Apr 24, 2020 by Nidhi01 Consider the angles of a quadrilateral as 2x, 4x, 5x and 7x In a quadrilateral we know that the sum of all the angles is 360o So we can write it as 2x + 4x + 5x + 7x = 360o By addition 18x = 360o By division xo = 20o Now by substituting the value of xo 2x = 2(20o) = 40o 4x = 4(20o) = 80o 5x = 5(20o) = 100o 7x = 7(20o) = 140o Therefore, the angles are 40o, 80o, 100o and 140o.Read more on Sarthaks.com - https://www.sarthaks.com/721694/the-angles-of-a-quadrilateral-are-in-the-ratio-2-4-5-7-find-the-angles

Answer 2

Answer:

smallest angle 36⁰

Step-by-step explanation:

let angles be 2x , 4x , 5x , 7x

sum of interior angles of quadrilateral= 360

2x + 4x + 5x + 7x = 360

18x = 360

x = 360/18

x = 20

smallest angle 2x = 2 × 18 = 36⁰