Advertisements
Advertisements
Question
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?
Advertisements
Solution
We know that, number of sides in pentagon is 5 and in decagon is 10.
Now, exterior angle of a regular pentagon = `360^circ/5` = 72°
Exterior angle of a regular decagon = `360^circ/10` = 36°
∴ Required ratio = `72/36` = 2 : 1
So, the ratio between these two angles is 2 : 1.
APPEARS IN
RELATED QUESTIONS
Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
| Figure |  |
 |
 |
 |
| Side | 3 | 4 | 5 | 6 |
| Angle sum | 180° |
2 × 180° = (4 − 2) × 180° |
3 × 180° = (5 − 2) × 180° |
4 × 180° = (6 − 2) × 180° |
What can you say about the angle sum of a convex polygon with number of sides?
a) 7
b) 8
c) 10
d) n
How many sides does a regular polygon have if the measure of an exterior angle is 24°?
Classify the following curve as open or closed:
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
Which of the following is an equiangular and equilateral polygon?
The sum of angles of a concave quadrilateral is ______.
A polygon having 10 sides is known as ______.
A regular pentagon ABCDE and a square ABFG are formed on opposite sides of AB. Find ∠BCF.
