Answer:
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