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Use polygon B for exercises 7 and 8.

Use polygon B for exercises 7 and 8.-example-1

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For polygon B with 6 sides, the sum of interior angles is 720 degrees. Given that y is 100 degrees, using the equation x = 180 - y yields x as 80 degrees. Hence, x is 80 degrees, and y is 100 degrees.

The sum of all interior angles in a polygon is given by the formula

180(n - 2)

where n is the number of sides in the polygon.

In polygon B, there are 6 sides. So, the sum of all interior angles is

180(6 - 2) = 720 degrees

We are given that the value of y is 100 degrees. We are also given that the value of x is 80 degrees.

To find the value of x, we can use the following equation:

x = 180 - y

Substituting the value of y that we were given, we get:

x = 180 - 100 = 80 degrees

Therefore, the value of x is 80 degrees.

The value of y is 100 degrees.

The value of x is 80 degrees.

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