Question

Find the value of x, please show your work

Answer 1

x = 80

Explanation:

This shape is a pentagon, and all of the angles in a pentagon always add up to 540. So, using this, we can create an equation, 3x + 300 = 540. we can then use the reverse order of operations to solve this, first subtracting 300 from both sides. this gets us the equation 3x = 240. We then divide 3 from both sides to get x alone and get x = 80.

Answer 2

x = 80°

Explanation:

You want the value of x given a pentagon with two angles marked with expressions in x.

Sum of angles

The sum of interior angles in an n-gon is 180° × (n -2). For the 5-sided figure shown, the sum of angles is 180° × 3 = 540°.

Using this value, we have ...

(x +40°) +125° +(x +5°) +(x +50°) +80° = 540°

3x +300° = 540° . . . . . . simplify

x +100° = 180° . . . . . . . divide by 3

x = 80° . . . . . . . . . . . . subtract 100°

The value of x is 80°.