Question

I need help finding x

Answer 1

Answer: x=43

Explanation:

We know The interior angles in a hexagon sum to 720°.

so we can add all the angles and equal them to 720

100 + 4x + (3x + 3) + (5x-2) + 103 = 720

Simplify by combining like terms

(100 + 3 -2 + 103) and (4x + 3x +5x)

204 + 12x = 720

Subtract 204 from both sides to isolate x

204 - 204 + 12x = 720 - 204

12x = 516

Divide both sides by 12 to solve for x

12/12 x = 516/12

Simplify

x = 43

to check your work, substitute the value of x into your equation and solve

100 + 4x + 3x + 3 + 5x-2 + 103 = 720

100 + 4(43) + (3)(43) + 3 + (5)(43) -2 + 103 = 720

100 + 172 + 129 + 3 + 215 -2 + 103 = 720

720 = 720

They equal so your solution is correct

Answer 2

Explanation:

Formula for the sum of interior angle of an n-gon is S = (n-2)x180°.

So for our 5 sided polygon we get:

S = (5-2)x180° = 540°

Now we can solve:

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

`12x+204=540`

`12x=336`

`x=28`°

Solution:
`x=28`°