Question

The angles of a quadrilateral are in A.P. and the greatest angle is 120°. Express the angles in radians.​

Answer 1

Answer:

Step-by-step explanation:

Quadrilateral has four angles . Sum of angles of a quadrilateral = 360.

Let the smallest angle be a

Since the angles are in AP let the common difference be d

Then the angles would be a , a+d , a+2d , a+3d

Given a+3d = 120

So a = 120 - 3d ----------- (1)

a+a+d+a+2d+a+3d = 360

4a+6d = 360 ---------------(2)

4(120-3d) + 6d = 360

480 - 12d + 6d = 360

6d = 120

d=20.

a = 120-3d = 120 - 60 = 60

Angle in degrees = 60,80,100 ,120.

1 degree = 0.01745 radians

Angle in radians = 1.047 , 1.396 , 1.745 , 2.094