Question

the angles of a quadrilateral are in AP and the greatest angle is 120 degree Express the angles in radians​

Answer 1

Hey Mate

Your answer is here

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,,,

Plz mark as brainiest

Answer 2

Here is your answer mate,

Hope it helps you.... :-)

Have a good day :-)