Q26 of 102 Page 394

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

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°.


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