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contestada

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

Respuesta :

Answer:

D. 66°

Step-by-step 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)