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5 January, 13:40

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

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Answers (1)
  1. 5 January, 13:57
    0
    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)
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