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प्रश्न
Find the number of sides in a regular polygon, if its interior angle is: 135°
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उत्तर
No. of. sides = n
Each interior angle = 135°
`("n" - 2)/"n" xx 180^circ = 135^circ`
180n - 360° = 135n
180n - 135n = 360°
45n = 360°
n = 8
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संबंधित प्रश्न
Fill in the blanks :
In case of regular polygon, with :
| No.of.sides | Each exterior angle | Each interior angle |
| (i) ___8___ | _______ | ______ |
| (ii) ___12____ | _______ | ______ |
| (iii) _________ | _____72°_____ | ______ |
| (iv) _________ | _____45°_____ | ______ |
| (v) _________ | __________ | _____150°_____ |
| (vi) ________ | __________ | ______140°____ |
Find the number of sides in a regular polygon, if its interior angle is: `1 1/5` of a right angle
Find the number of sides in a regular polygon, if its exterior angle is : `1/3` of right angle
Find the number of sides in a regular polygon, if its exterior angle is: two-fifth of right angle
Is it possible to have a regular polygon whose each exterior angle is: 40° of a right angle.
The ratio between the interior angle and the exterior angle of a regular polygon is 2: 1. Find:
(i) each exterior angle of the polygon ;
(ii) number of sides in the polygon.
The sum of interior angles of a regular polygon is twice the sum of its exterior angles. Find the number of sides of the polygon.
Three of the exterior angles of a hexagon are 40°, 51 ° and 86°. If each of the remaining exterior angles is x°, find the value of x.
What is the measure of each interior angle of a regular hexagon?
A regular polygon has each exterior angle measuring 40°. How many sides does it have?
