Advertisements
Advertisements
प्रश्न
If all the angles of an octagon are equal, find the measure of each angle.
Advertisements
उत्तर
No. of. sides of octagon n = 8
Let each angle be = x°
∴ Sum of angles = 8x°
∴ (2n - 4) × 90° = Sum of angles
(2 × 8 - 4) × 90° = 8x°
12 × 90° = 8x°
⇒ x° = `(90° xx 12°)/8`
⇒ x° = 135°
∴ Each angle of octagon = 135°
संबंधित प्रश्न
If all the angles of a hexagon are equal, find the measure of each angle.
If all the angles of a 14-sided figure are equal ; find the measure of each angle.
Find the sum of exterior angle obtained on producing, in order, the side of a polygon with: 7 sides
Find the sum of exterior angle obtained on producing, in order, the side of a polygon with: 250 sides
The sides of a hexagon are produced in order. If the measures of exterior angles so obtained are (6x – 1)°, (10x + 2)°, (8x + 2)° (9x – 3)°, (5x + 4)° and (12x + 6)° ; find each exterior angle.
What is an exterior angle of a polygon?
What is the sum of all exterior angles of any polygon?
Which of the following exterior angle combinations is possible for a quadrilateral?
Four exterior angles of a quadrilateral are x, 80°, 95°, and 85°. Find x.
The exterior angles of a pentagon are in the ratio 1:2:3:4:5. If the smallest exterior angle is x, find x.
