Question

2. The ratio of an interior angle to the exterior angle of a regular polygon is 5 : 1. Find the number of sides.

3. Find each exterior angle of a regular octagon.

4. The interior angle of a convex regular polygon is four times the exterior angle. Find the number of sides.

5. Prove that in a convex hexagon, the sum of the interior angles is equal to the twice the sum of the exterior
angles.

6. Each exterior angle of a regular polygon is 36º. Find the number of sides of the polygon.

7 find the number of sides of a polygon whose exterior and interior angles are in the ratio 2 :7.

8. Prove that the interior angle of a regular pentagon is three times as the exterior angle of a regular decagon.

9. The sum of the interior angles of a polygon is six times the sum of its exterior angles. Find the number of sides.

10. The exterior angle of a regular polygon is one-eighth the interior angle. Find the number of sides.

11. Is it possible to have a regular
polygon whose external angle is 50°? Why?​

Answer 1

Step-by-step explanation:

(2) let x be the interior angle...hence extr angle =180-x

x:(180-x)=5:1

900-5x=x

6x=900

x=150

hence intr angle be 150...