Advertisements
Advertisements
प्रश्न
The measure of each angle of a regular pentagon is ______.
Advertisements
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°
APPEARS IN
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
Is it possible to have a regular polygon with measure of each exterior angle as 22°?
Classify the following curve as open or closed:
Find the number of side of a regular polygon, when of its angle has a measure of 135° .
The sum of angles of a concave quadrilateral is ______.
The name of three-sided regular polygon is ______.
The number of diagonals in a hexagon is ______.
A regular polygon is a polygon whose all sides are equal and all ______ are equal.
ABCDE is a regular pentagon. The bisector of angle A meets the side CD at M. Find ∠AMC.
A regular pentagon ABCDE and a square ABFG are formed on opposite sides of AB. Find ∠BCF.
