Question

The angles of a quadrilateral are in AP, whose common difference is 10. Find the angle.​

Answer 1

The total number of angles in a quadrilateral are four and the sum of all the angles is 360°. So, the AP has has four terms and their sum is 360. Adding the common difference to the first term we get the other angles. So the angles are 60°,80°,100° and 120°.

Answer 2

Answer:

Step-by-step explanation:

Since the angles are in A.P., let the angles are p, p+10, p+20, p+30

sum of angles=360

⇒ p + p+10 + p+20 + p+30 = 360

⇒ 4p + 60 = 360

⇒ 4p = 360-60 = 300

⇒ p = 300/4 = 75

So the angles are

p = 75

p+10 = 75+10 = 85

p+20 = 75+20 = 95

p+30 = 75+30 = 105

HOPE IT HELPS