Question

A swimming pool is in the shape of a regular decagon. One edge of the pool is directly against the outside wall of a house. Find the measure x of the angle between the house and the pool.

Answer 1

36 degrees.

Explanation:

Total Sum of the Exterior Angle of a Regular Polygon
`=360^0`

One Exterior Angle of a n-sided regular polygon
`=(360^0)/(n)`

A decagon has 10 sides.

One Exterior Angle of a decagon
`=(360^0)/(10)=36^0`

Therefore, the measure x of the angle between the house and the pool is 36 degrees.