Question

Solve for x
solve for x

Answer 1

x = 121°

Explanation:

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

180 ( n - 2 )

Here,

n ⇒ number of sides ⇒ 7

First, let us find the sum of the interior angles of the polygon.

180 ( n - 2 )

180 × ( 7 - 2 )

180 × 5

900°.

Accordingly, let us make an expression to find the value of x.

145 + 133 + 140 + 125 + 119 + 117 + x = 900

Let us solve for x now.

779 + x = 900

Subtract 779 from both sides.

x = 900 - 779

x = 121

Answer 2

121

Explanation:

Number of sides = n = 7

Sum of all the interior angles = (n -2)*180 = (7-2) *180

= 5 *180

= 900

x + 125 + 119 +117 +145 + 133 + 140 = 900

x + 779 = 900

x = 900 - 779

x = 121