Advertisements
Advertisements
Question
How many sides does a regular polygon have if each of its interior angles is 165°?
Advertisements
Solution
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
RELATED QUESTIONS
What is a regular polygon?
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:
Following are some figures: Classify each of these fugures on the basis of the following:
(i) Simple curve
(ii) Simple closed curve
(iii) Polygon
(iv) Convex polygon
(v) Concave polygon
(vi) Not a curve
Find the number of side of a regular polygon, when of its angle has a measure of 175° .
The sum of angles of a concave quadrilateral is ______.
The measure of each exterior angle of a regular pentagon is ______.
is a polygon.
ABCDE is a regular pentagon. The bisector of angle A meets the side CD at M. Find ∠AMC.
