Fourth Angle Of Quadrilateral

Introduction: In geometry, a quadrilateral is a four-sided polygon. To find the measure of the fourth angle of a quadrilateral, you need to know the measures of the other three angles.

Understanding Quadrilaterals:

A quadrilateral has four angles. The sum of the interior angles in any quadrilateral is always 360 degrees. Calculating the Fourth Angle:

To find the fourth angle, add the measures of the three known angles. Subtract this sum from 360 degrees to find the measure of the fourth angle. Example:

If the three known angles of a quadrilateral are 90 degrees, 80 degrees, and 100 degrees: Add these angles: 90 + 80 + 100 = 270 degrees. Subtract this sum from 360: 360 - 270 = 90 degrees. The measure of the fourth angle is 90 degrees. Key Points to Remember:

The total sum of angles in a quadrilateral is 360 degrees. This method assumes the quadrilateral is a simple, closed figure with non-intersecting sides.