Question

Work out the value of x.

4x - 25
3x + 25
3x + 15
2x - 3
4X
The diagram is not drawn to scale.
X = 1​

Answer 1

x = 33

Explanation:

Sum of the interior angles of a 5-sided polygon = 540°

Therefore all the interior angles of the given polygon would all be equal to 540°.

Thus:

(4x - 25)° + (3x + 25)° + (2x - 3)° + (4x)° + (3x + 15)° = 540°

Solve for x

4x - 25 + 3x + 25 + 2x - 3 + 4x + 3x + 15 = 540

Combine like terms

4x + 3x + 2x + 4x + 3x - 25 + 25 - 3 + 15 = 540

16x + 12 = 540

16x = 540 - 12

16x = 528

Divide both sides by 16

x = 33