Question

The measures of four angles, in order, of
a quadrilateral form an AP. If the common
difference is 10°, find the measures of all
the angles of the quadrilateral.​

Answer 1

Step-by-step explanation:

Let the angles be a - 3d, a - d, a + d, a + 3d

According to angle sum property

a - 3d + a - d + a + d + a + 3d = 360

4a = 360

a = 90

now, common difference = 10

a - d - a + 3d = 10

2d = 10

d = 5

Hence the required angles are 75, 85, 95, 105