Question

The number of sides of a regular polygon if each of its interior angles measure 135 is ?

Answer 1

Answer:

8 sides

Step-by-step explanation:

Formula: [(n-2)*180]/n

Therefore,

[(n-2)*180]/n = 135

(n-2)*180 = 135n

180n-360 = 135n

180n-135n = 360

45n = 360

n = 360/45

n = 8

Answer 2

Answer:

8 sides.

Step-by-step explanation:

If the interior angle is 135 degrees then the exterior angle will be 45 degrees.

We know that the exterior angles add up to 360 degrees.

So 360 divided by 45 will give us the number of exterior angles, which is 8.

The number of sides are equal to the number of exterior angles.

Therefore the number of sides of the polygon are 8.

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