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A quadrilateral has angles that measure 74°, 93°, and 117°. What is the measure of the fourth angle? A. 76° B. 104° C. 106° D. 284° Please explain too!
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A quadrilateral has angles that measure 74°, 93°, and 117°.

What is the measure of the fourth angle?



A.


76°


B.


104°


C.


106°


D.


284°
Please explain too!

User Benjith Kizhisseri
by
7.8k points

1 Answer

4 votes
The answer is A. 76°.
The sum of the angles in a quadrilateral equals 360°.
Let the unknown angle be x.
The sum would be:
x+74°+93°+117°=360°
x+284°=360°
x=360°-284°
x=76°
User Mark Brittingham
by
8.0k points
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