Question

What is the value of X in the following diagram?

Answer 1

Sum of angles in a pentagon is 540°

x = 540 - (117+113+100+112)

x = 540 - 442

x = 98°

Answer 2

x = 98 degrees

Explanation:

The sum of angles in a pentagon is 540 degrees. You can find this with the formula where n is the number of sides: 180(n-2). This formula will find the angle sum of a polygon. Now, since you know the value of every other angle except X, we can construct the equation 112+100+113+117+x=540

Solving this equation yields x=98 degrees