2

Set 12: Linear Equations (Intermediate)

Explanation

Answer: D

The sum of interior angles of an n-sided polygon is S = 180(n - 2). Solve for n.

Solve for n.

A.

n = (S + 2) / 180

B.

n = S/180 - 2

C.

n = 180S + 2

D.

n = S/180 + 2

✓ Correct

Detailed Explanation

Choice D is correct. Divide by 180: S/180 = n - 2. Add 2: n = S/180 + 2.

Key Steps:

The correct answer is n = S/180 + 2

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.

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