203k views
3 votes
Each interior angle of a polygon is 135∘. How many sides does it have? (a) 8 (b) 7 (c) 6 (d) 10

1 Answer

6 votes

Answer:

3

Explanation:

To find the number of sides in a polygon with interior angles of 135 degrees, you can use the formula:

Number of sides = 360 degrees / (Interior angle in degrees)

In this case, the interior angle is 135 degrees, so:

Number of sides = 360 degrees / 135 degrees

Number of sides ≈ 2.6667

Since the number of sides must be a whole number, we round to the nearest whole number. In this case, the polygon has 3 sides.

So, the correct answer is not among the given options, and the polygon has 3 sides.