Question

the angles of A quadrilateral in an A.P.If the least angle is 15° then find remaining angles​

Answer 1

Answer:

115,115,115 are rest angles

Step-by-step explanation:

One angle is 15

Let the other angle be x

So

The sum of a quadrilateral= 360

So ,

15+3x=360

3x=360-15

3x=345

X=115

So other angles are 115

Answer 2

We are given that the angles of a quadrilateral are in AP .

So, Let d be the common difference .

Least angle = 15°

So, AP : 15 , 15 + d , 15 + 2d , 15 + 3d .

Sum of all angles of quadrilateral is 360° .

So ,

15 + 15 + d + 15 + 2d + 15 + 3d = 360

60 + 6d = 360

6d = 300

d = 50

First angle = 15

Second angle = 15 + 50 = 65

Third angle = 15 + 100 = 115

Fourth angle = 15 + 150 = 165