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Solve for x using the interior angle sum.

A) 118°
B) 124°
C) (x + 3)
D) 115°

1 Answer

6 votes

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.

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