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Rzqust [24]
3 years ago
6

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

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
8 0

Answer:

The final angle is 124°

Step-by-step explanation:

1. Getting the total sum of all angles:

The general rule to get the sum of all interior angles is as follows:

sum of interior angles = (n-2)*180

where n is the number of sides

We know that a heptagon has 7 sides, therefore:

sum of interior angles of a heptagon = (7-2)*180 = 5 * 180 = 900°

2. Getting the missing angle:

We know that the total sum of all 7 angles is 900°

We also know that the sum of 6 of those angles = 776°

This means that:

measure of the last angle = 900 - 776

measure of last angle = 124°

The final angle is 124°

Hope this helps :)

Hatshy [7]3 years ago
3 0

Answer:

124 degrees

Step-by-step explanation:

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