Advertisements
Advertisements
प्रश्न
How many sides does a regular polygon have if each of its interior angles is 165°?
Advertisements
उत्तर
Measure of each interior angle = 165°
Measure of each exterior angle = 180° − 165° = 15°
The sum of all exterior angles of any polygon is 360º.
Thus, number of sides of the polygon = `360^circ/15^circ = 24^circ`
APPEARS IN
संबंधित प्रश्न
Find the measure of each exterior angle of a regular polygon of 15 sides
How many sides does a regular polygon have if the measure of an exterior angle is 24°?
Is it possible to have a regular polygon with measure of each exterior angle as 22°?
Can it be an interior angle of a regular polygon? Why?
Classify the following curve as open or closed:

Classify the following curve as open or closed:

Find the number of side of a regular polygon, when of its angle has a measure of 135° .
If the sum of interior angles is double the sum of exterior angles taken in an order of a polygon, then it is a hexagon.
Find the measure of each angle of a regular octagon.
Find the measure of an are exterior angle of a regular pentagon and an exterior angle of a regular decagon. What is the ratio between these two angles?
