Question

what is the measure of one interior angle of a regular 13-gon? (round to the nearest tenth if necessary)

152.3
147.5
150.4
158.2

Explanation:

Identify the number of sides

$$ n = 13 $$

Calculate the sum of interior angles

$$ S = (n - 2) \times 180^\circ = (13 - 2) \times 180^\circ = 11 \times 180^\circ = 1980^\circ $$

Calculate the measure of one interior angle

$$ \text{Angle} = \frac{1980^\circ}{13} \approx 152.30769^\circ \approx 152.3^\circ $$

Answer:

• (A) 152.3 (Correct answer)
• (B) 147.5
• (C) 150.4
• (D) 158.2