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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Mark Brittingham · Answer 1 · 2019-01-08T09:41:07+0000

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°

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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