Advertisements
Advertisements
प्रश्न
The number of sides of a regular polygon whose each interior angle is of 135° is ______.
पर्याय
6
7
8
9
Advertisements
उत्तर
The number of sides of a regular polygon whose each interior angle is of 135° is 8.
Explanation:
We know that, the measures of each exterior angle of a polygon having n sides is given by `360^circ/n`.
∴ The number of sides,
`n = 360^circ/"Exterior angle"`
= `360^circ/(180^circ - 135^circ)` ...[∵ Exterior angle + Interior angle = 180°]
= `360^circ/45^circ`
= 8
APPEARS IN
संबंधित प्रश्न
Draw rough diagram to illustrate the following Closed curve .
Classify the following curve as open or closed:
Illustrate, if posible, one of the following with a rough diagram:
A colsed curve that is not a polygon.
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 135° .
Which of the following is an equiangular and equilateral polygon?
The sum of angles of a concave quadrilateral is ______.
The measure of ______ angle of concave quadrilateral is more than 180°.
A polygon having 10 sides is known as ______.
is a polygon.
