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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
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Find the number of side of a regular polygon, when of its angle has a measure of 150° .
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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.
What is the maximum exterior angle possible for a regular polygon?
