Question

The angles of a quadrilateral in AP whose common differences is 10degree find its angle

Answer 1

Answer:

so

4a + 6d=360

4a= 300

a= 75.

so angles are 75, 85, 95, 105

Answer 2

Step-by-step explanation:

let the first angle be a

common difference is 10°

2nd angle = a+d

= a+10

3rd angle= a+2d

= a+20

4th angle= a+ 3d

= a+ 30

we know that sum of all angle is 360

a+a+10+a+20+a+30= 360

4a+60= 360

4a= 300

a= 75

first angle be 75

2nd angle be 85

3rd angle be 95

4th angle be 105

.....666....