Advertisements
Advertisements
प्रश्न
Can it be an interior angle of a regular polygon? Why?
उत्तर
The sum of all exterior angles of all polygons is 360º. Also, in a regular polygon, each exterior angle is of the same measure. Hence, if 360º is a perfect multiple of the given exterior angle, then the given polygon will be possible.
Interior angle = 22°
Exterior angle = 180° − 22° = 158°
Such a polygon is not possible as 360° is not a perfect multiple of 158°
APPEARS IN
संबंधित प्रश्न
How many sides does a regular polygon have if each of its interior angles is 165°?
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
State the name of a regular polygon of 6 sides.
Find the number of side of a regular polygon, when of its angle has a measure of 150° .
Which of the following is an equiangular and equilateral polygon?
The number of sides of a regular polygon whose each interior angle is of 135° is ______.
A regular polygon is a polygon whose all sides are equal and all ______ are equal.
A nonagon has ______ sides.
ABCDE is a regular pentagon. The bisector of angle A meets the side CD at M. Find ∠AMC.
