Question

If three angles in a quadrilateral are 22 degrees,132 degrees, and 140 degrees, what is the measure of the fourth angle?

A.88
B.22
C.44
D.66

Answer 1

D. 66°

Explanation:

The interior angle sum of any quadrilateral is 360°. All quadrilaterals will have 4 angles. So add up the 3 given angles, then subtract that from 360 to determine the measure of the 4th angle.

22° + 132° + 140° + (angle 4)° = 360°

294° + (angle 4)° = 360 ° (add up the 3 known angles)

(angle 4)° = 66° (subtract 294° from both sides to determine angle 4)