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

Mathematics

2 answers:

Irina18 [472]3 years ago

7 0

Answer:

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.

shutvik [7]3 years ago

5 0

A heptagon has 7 sides.

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

900 - 776 = 124°

Answer: The final angle must be 124°

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Find the value of x.

Travka [436]

In order to solve you must find the value of the blank angle.
Here is your first equation.
126 + x = 180
Subtract 126 from both sides.
x = 54
So now add up all the angles.
x + (2x + 6) + 54 = 180
Combine like terms.
3x + 60 = 180
Subtract 60 from both sides.
3x = 120
Divide.
x = 40
Now check your answer.
40 + 2(40) + 6 + 54 = 180
40 + 80 + 6 + 54 = 180
120 + 60 = 180
180 = 180
There is a solution. The answer is 40.
I hope this helps love! :)

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