Question

The angle of a quadrilateral are in ap and the greatest angle is 120°.Express the angles in radian

Answer 1

Answer:

so simple answer is 2π/3

Step-by-step explanation:

we know that

let be the angles are a-3d, a-d, a+d ,a+3d

given that

a + 3d=120..................(1)

we know that the sum of all angles is 2π

a-3d +a-d +a+d+ a+3d =2π

4a = 2π

a=π/2

from equation (1)

I hope it will be helpful for you

if you satisfied with above explanation than please mark it as brainiest answer

Answer 2

1. Question⇒  The angle of a quadrilateral are in ap and the greatest angle is 120°.Express the angles in radian

Step-by-step explanation:

• Let smallest angle of quadrilateral is X - 3d
• Then second angle is X - d
• _____ Third angle is X + d
• & ____ Fourth angle is X + 3d
• Where d is the common difference of given AP
• Given fourth angle = 120°
• X + 3d = 120 ____(1)
• We know that total sum of angles
• of an quadrilateral is 360°
• So,
• X - 3d + X - d + X + d +X + 3d = 360
• 4X = 360
• X = 90
• From equation (1) ___
• 90 + 3d = 120
• d = 10
• So,
• The angles of quadrilateral are 60 ,
• 80 , 100 & 120
• Thanks,,,