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andrey2020 [161]
2 years ago
7

The sum of all but one interior angle of a heptagon is 776°. What is the measure of the final interior angle? 42º 56º 124º 3

04º
Mathematics
1 answer:
weqwewe [10]2 years ago
3 0

The measure of the seventh <em>interior</em> angle of the heptagon is 124°. (Correct choice: C)

<h3>What is the measure of the missing interior angle in a heptagon?</h3>

Heptagons are polygons with seven sides, seven vertices, seven <em>interior</em> angles and seven <em>central</em> angles. Herein we know the value of the sum of six interior angles and we need to know the measure of the seventh <em>interior</em> angle. We can determine the measure of the seven interior angles by using the following expression:

θ = (n - 2) · 180°, where n is the number of sides of the polygon.     (1)

If we know that n = 7, then sum of the internal angles in the heptagon is:

θ = (7 - 2) · 180°

θ = 900°

And the measure of the final interior angle is found by subtraction:

θ₇ = 900° - 776°

θ₇ = 124°

The measure of the seventh <em>interior</em> angle of the heptagon is 124°. (Correct choice: C)

To learn more on polygons: brainly.com/question/17756657

#SPJ1

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