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The sum of the measures of five interior angles of a hexagon is 593°. Find the missing measure of the sixth interior angle.

A. 53°
B. 127°
C. 93°
D. 107°

2 Answers

2 votes

Answer:

720 and 107

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User Condinya
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General Formula for a n-gon:


\boxed { \boxed { \text { (n-2) x 180}}}

A hexagon has 6 sides.

Sum of all interior angles of a hexagon = (6 - 2) x 180 = 4 x 180 = 720°

Given that sum of 5 interior angles = 593°

6th interior angles = 720 - 593 = 127°


\boxed { \boxed { \text {The 6th angle is 127\textdegree} }}
User Bendihossan
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