Question

How would I go about doing this?

Answer 1

⇒The shape in the picture is a pentagon because it has five sides.

⇒ The sum of the interior angles of a pentagon is 540°

meaning:

`4x+(3x+3)+(5x-2)+103+100=540\\`

⇒As a results you can see above we have an equation that can enable us to solve for x.

⇒Solving for x we have

`4x+3x+5x+3-2+103+100=540\\`

⇒Now let us simplify like terms since we have grouped them already.

`12x+204=540\\12x=540-204\\12x=336\\(12x)/(12) =(336)/(12) \\x=28`

∴ x=28°

Note I have written the equation above, as the first step.