A regular polygon has $8$ sides. What is the measure of each interior angle?

• A. $120°$
• B. $108°$
• C. $135°$
• D. $140°$

Answer: (C)

Verified step by step guidance

1. Recall the formula to find the measure of each interior angle of a regular polygon with \( n \) sides: \[ \text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n} \]
2. Identify the number of sides \( n \) of the polygon. Here, \( n = 8 \) since the polygon has 8 sides.
3. Substitute \( n = 8 \) into the formula: \[ \text{Interior Angle} = \frac{(8 - 2) \times 180^\circ}{8} \]
4. Simplify the numerator first: \[ (8 - 2) \times 180^\circ = 6 \times 180^\circ \]
5. Divide the result by 8 to find the measure of each interior angle: \[ \text{Interior Angle} = \frac{6 \times 180^\circ}{8} \]