Advertisements
Advertisements
Question
Find the measure of each angle of a regular octagon.
Advertisements
Solution
Number of sides (n) in octagon = 8
Now, the sum of interior angles of a regular octagon = (n – 2) × 180°
= (8 – 2) × 180°
= 6 × 180°
= 1080°
Since, the octagon is regular, measure of each angle = `1080^circ/8` = 135°
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
Is it possible to have a regular polygon with measure of each exterior angle as 22°?
Draw rough diagram to illustrate the following Closed curve .
Classify the following curve as open or closed:
State the name of a regular polygon of 4 sides.
Find the number of side of a regular polygon, when of its angle has a measure of 175° .
The number of sides of a regular polygon whose each interior angle is of 135° is ______.
The measure of ______ angle of concave quadrilateral is more than 180°.
A polygon is regular if all of its sides are equal.
is a concave pentagon.
