Question

What is the value of x? Enter your answer in the box. ___ °

Answer 1

84 degrees.

Explanation:

This is a pentagon . The sum of the 5 angles is 540 degrees.

x = 540 - (131 + 108 + 107 + 110)

= 84 degrees.

Answer 2

x = 84

Explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, thus

sum = 180° × 3 = 540°

Sum the given angles and equate to 540 to find x

x + 131 + 108 + 107 + 110 = 540, that is

x + 456 = 540 ( subtract 456 from both sides )

x = 84