The sum of all but one interior angle of a heptagon is 776 the final angle must have a measurement of

10 answers
Question:

The sum of all but one interior angle of a heptagon is 776 the final angle must have a measurement of

Answers

its actually 124

Step-by-step explanation:

124

Step-by-step explanation:

just trust me :)

360 degrees i believe

124 degrees

Step-by-step explanation:

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 :)

The final angle must have a measure of  124 degrees.

Step-by-step explanation:

Heptagon is polygon with seven sides.

Sum of angles of heptagon = 900°

Given:Sum of all angles and one interior angle of a heptagon is 776°.

Let the measure of interior angle be x

776° + ∠x = 900°

∠x = 900° - 776° = 124°

The final angle must have a measure of  124 degrees.

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°

124°

A heptagon has 7 sides.

Sum of all interior angles = (7 - 2) x 180 = 900°

900 - 776 = 124°

The final angle must be 124°

The final angle is 124°

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°

Hope this helps :)

The sum of interior angles in a heptagon = 900 degrees. Assuming the heptagon is regular, the other angle must be 900 - 776. 124 degrees is the answer.

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