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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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Jan 4, 2019
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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!
Mathematics
high-school
Benjith Kizhisseri
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Benjith Kizhisseri
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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°
Mark Brittingham
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Jan 8, 2019
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Mark Brittingham
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