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प्रश्न
The measure of each angle of a regular pentagon is ______.
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उत्तर
The measure of each angle of a regular pentagon is 108°.
Explanation:
We know that, the sum of interior angles of a polygon
= (n – 2) × 180°
= (5 – 2) × 180°
= 540°
Since, it is a regular pentagon ...[∵ In pentagon, number of sides, n = 5]
∴ Measure of each interior angle
= `"Sum of interior angles"/"Number of sides"`
= `540^circ/5`
= 108°
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संबंधित प्रश्न
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
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.
State the name of a regular polygon of 3 sides.
How many diagonals does a hexagon have?
The sum of angles of a concave quadrilateral is ______.
A nonagon has ______ sides.
A polygon having 10 sides is known as ______.
is a polygon.
A polygon is regular if all of its sides are equal.
