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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°

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°
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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°

User ScottieB
by
8.4k points

1 Answer

1 vote
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 Okram
by
8.5k points
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