Question

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 304º

Answer 1

Answer:

C. 124

Step-by-step explanation:

E2020

Answer 2

A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.

What is heptagon?

A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."

A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,

$\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o$

As it is said in the problem that the sum of the all the angles of the heptagon  except one is 776°, therefore, the measure of the last angle of the heptagon is,

The measure of the last angle = 900° - 776° = 124°

Hence, the measure of the final interior angle of the heptagon is 124°.

Learn more about Heptagon:

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