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

Question

Philoid · Accepted Answer

To Find: The angles of a quadrilateral.

Given: Angles of a quadrilateral are in AP with common difference = 10°.

Let the required angles be a, (a + 10°), (a + 20°) and (a + 30°).

Then, a + (a + 10°) + (a + 20°) + (a + 30°)=360° 4a + 60°= 360° a = 75°

NOTE: Sum of angles of quadrilateral is equal to 360°

So Angles of a quadrilateral are 75°, 85°, 95° and 105°.