Sure, here is the step by step solution:

1. We know that the sum of the interior and exterior angles of a polygon is 180 degrees.

2. If the interior angle is equal to the exterior angle, then each of them is 180/2 = 90 degrees.

3. The formula to find the number of sides in a polygon using the exterior angle is: n = 360/Exterior Angle.

4. Substituting the value of the exterior angle, we get: n = 360/90 = 4.

So, the polygon is a quadrilateral, which means it has 4 sides.

Question

Sure, here is the step by step solution:

1. We know that the sum of the interior and exterior angles of a polygon is 180 degrees.

2. If the interior angle is equal to the exterior angle, then each of them is 180/2 = 90 degrees.

3. The formula to find the number of sides in a polygon using the exterior angle is: n = 360/Exterior Angle.

4. Substituting the value of the exterior angle, we get: n = 360/90 = 4.

So, the polygon is a quadrilateral, which means it has 4 sides.

Knowee AI · Accepted Answer

Sure, here is the step by step solution:

1. We know that the sum of the interior and exterior angles of a polygon is 180 degrees.

2. If the interior angle is equal to the exterior angle, then each of them is 180/2 = 90 degrees.

3. The formula to find the number of sides in a polygon using the exterior angle is: n = 360/Exterior Angle.

4. Substituting the value of the exterior angle, we get: n = 360/90 = 4.

So, the polygon is a quadrilateral, which means it has 4 sides.

Find the number of sides in a regular polygon, if its interior angle is equal to exterior angle.