Question

Three interior angles of a quadrilateral measure 55°, 117°, and 120°. What is the measure of the fourth interior angle

Answer 1

55 + 117 = 172 + 120 = 292 

360 - 292 = 68

Therefore the 4th interior angle equals 68º

Answer 2

The measure of the fourth interior angle of the quadrilateral is 68°.

What is interior angle of a quadrilateral ?

Angles in a quadrilateral are the four angles that occur at each vertex within a four-sided shape; these angles are called interior angles of a quadrilateral. The interior angles of a quadrilateral always sum up to 360°.

Let the measure of the fourth interior angle is x.

x + 55° + 117° + 120° = 360°

x + 292° = 360°

x = 68°

Hence, the fourth interior angle is 68°.

To learn more about interior angles here

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