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The sum of all but one interior angle of a heptagon is 776°. The final angle must have a measure of _____ degrees?

The sum of all but one interior angle of a heptagon is 776°. The final angle must have a measure of _____ degrees?
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The sum of all but one interior angle of a heptagon is 776°. The final angle must have a measure of _____ degrees?

User Groppe
by
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2 Answers

4 votes

Answer:

124 degrees

Explanation:

User Krishna Suthar
by
8.9k points
6 votes
A heptagon has 7 sides.

Note that the sum of angles in an n-sided polygon is 180(n-2 degrees.
Therefore, the sum of the angles is
180(7-2) = 900°.

Six of the angles sum to 776°.
The remaining angle is
900 - 776 = 124°

Answer: 124°

User Oscprofessionals
by
8.7k points
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