Question

The angles of a Quadrilateral are in A.P. The greatest angle is double the least. Find the greatest angle.

Answer 1

Answer:

120°

Explanation:

let the angles be a, a+d , a+2d, a+3d

given, a+3d = 2(a)

to find : a+3d= ?

a+3d = 2a

a= 3d , n= 4

S4 = 360 ( sum of angles in a quadrilateral)

S4 = 4/2 ( 2(3d) + 3d )

360= 2(9d)

d = 20

we know that a= 3d

a= 3(20) = 60 -----(least angle)

now, a+3d = 60+ 3(20)

= 60+ 60

= 120° ------( greatest angle )

so the answer will be 120°

hope it helps...

Answer 2

Answer:

120° is the correct answer