How would I go about doing this?

Question

asked Nov 1, 2023 26.7k views

1 Answer

Mariusz Beltowski · Answer 1 · 2023-11-08T00:17:52+0000

⇒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.