Question

Find the value of x.

Answer 1

88.33°

Explanation:

The formula to find the sum of interior angles of regular polygon is:

180 ( n - 2 )

Here,

n => number of sides

Let us find the sum of interior angles of this polygon.

180 ( n - 2 )

180 × ( 8 - 2 )

180 × 6

1080°

And now let us make an equation like this to find the value of x.

143 + 2x + 152 + 116 + 125 + 140 + 139 + x = 1080

Combine like terms.

3x + 815 = 1080

subtract 815 by both sides.

3x = 1080 - 815

3x = 265

Divide both sides by 3.

x = 88.33

Answer 2

x =85/3

Explanation:

The formula for calculating the sum of the interior angles of a regular polygon is: (n - 2) × 180°.

( 7-2)× 180°

5× 180°

900°

The sum of all interior angles is 900° for a 7 sided figure.

x+ 143+2x+152+116+125+140+139 = 900

Combine like terms

3x+815 = 900

Subtract 815

3x = 815-815 = 900-815

3x = 85

Divide by 3

3x/3 = 85/3

x =85/3