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IgorLugansk [536]
3 years ago
14

How do I find x In these two problems?

Mathematics
2 answers:
erastovalidia [21]3 years ago
6 0

Answer:

N = number of sides

The sum of the interior angles of a polygon is equal to (N x 180)-360.

The first problem has 7 sides so the interior angle total = 900 degrees.

Add up all the known interior angles:

96+105+161+123+155+114+x = 900

x = 900-754 = 146 degrees

The second problem has 6 sides so the interior angle total = 720 degrees.

Add up all the known interior angles:

127+40+202+90+150+x = 720

x = 720-609 = 111 degrees

Akimi4 [234]3 years ago
3 0

Answer:

#1: 146 degrees #2: 111 degrees

Step-by-step explanation:

The angles of a heptagon (a shape with 7 sides) are supposed to add up to 900 degrees, so just add up all the sides that you know and subtract it from 900 and you will have x! Do the same thing with the second one, except is is a hexagon and all the angles should add up to 720 degrees. (Don't forget to add the right angle, which is 90 degrees) So add up all the sides you know and subtract from 720 to get x.

P.S. If correct, please give Brainliest?

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From the above diagram,

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This means for the above question, that

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