Question

The sum of the interior angles of a pentagon is equal to 540 degrees. Given the following pentagon. Write and solve an equation in order to determine x.

Answer 1

x=100

Explanation:

540= 106 + 94 + 135 + x + x+5

540=340+ 2x

540-340=2x

200=2x

therefore, x=100

Answer 2

x=100°

Explanation:

The sum of the interior angles of a pentagon is equal to 540 degrees.

Given the following pentagon, we can write the following equation:

106° + 94° + (x + 5)° + 135° + x° = 540

Combining like terms, we get the following equation:

340 + 2x= 540

Subtracting 340from both sides, we get the following equation:

2x = 540-240

2x=200

Dividing both sides by 2, we get the following equation:

x = 200/2

x=100°

`Therefore, the value of x is 100°.