An interior angle of a regular polygon is 135^. The polygon is a/an: Option 1: hexagon Option 2: square Option 3: pentagon Option 4: octagon

Answer: octagon. Solution: Using (n-2) x 180/n = 135: 180n - 360 = 135n, so 45n = 360, giving n = 8. A polygon with 8 sides is an octagon.

Geometry

Miscellaneous

Easy

An interior angle of a regular polygon is 135 $^\circ$ . The polygon is a/an:

hexagon

square

pentagon

octagon

✅ Correct Option: 4

Using $(n-2) \times 180/n = 135$ : $180n - 360 = 135n$ , so $45n = 360$ , giving $n = 8$ . A polygon with 8 sides is an octagon.

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