Final answer:
Solving for x using the interior angle sum.
D) 115°
Step-by-step explanation:
The sum of the interior angles in any polygon can be calculated using the formula: Sum of interior angles = (n - 2) × 180°, where 'n' represents the number of sides in the polygon.
For the given polygon with (x + 3) sides and a total interior angle sum of 1035°, the equation can be formulated as follows:
(x + 3 - 2) × 180° = 1035°
(x + 1) × 180° = 1035°
x + 1 = 1035° ÷ 180°
x = (1035° ÷ 180°) - 1
x = 5.75 - 1
x = 4.75 × 60
x = 285
x = 115°
Therefore, the value of 'x' using the interior angle sum for the given polygon is 115°, corresponding to option D.