Question

angles if quadrilateral are in ap whose d is 10 find angles ​

Answer 1

Step-by-step explanation:

Let the 4 angles of the quadrilateral be:

x, x+10, x+20 and x+30

(since the common difference is 10)

We know, the sum of angles of a quadrilateral is 360°

Hence,

x + x+10 + x+20 + x+30 = 360

4x + 60 = 360

4x = 360 - 60

4x = 300

x = 75°

Hence the 4 angles are:

75°, 85°, 95° and 105°