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प्रश्न
Is it possible to have a regular polygon whose interior angle is: 135°
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उत्तर
No. of. sides = n
Each interior angle = 135°
∴ `(("2n" - 4) xx 90^circ)/"n" = 135^circ`
180n - 360° = 135n
180n - 135n = 360°
n = `(360°)/(45°)`
n = 8
Which is a whole number.
Hence, it is possible to have a regular polygon whose interior angle is 135°.
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°____ |
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(i) measure of each interior angle ;
(ii) measure of each exterior angle and
(iii) number of sides in the polygon.
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Calculate the number of sides of a regular polygon, if: its exterior angle exceeds its interior angle by 60°.
Find the number of sides in a regular polygon, if its interior angle is: 150°
What is the measure of each interior angle of a regular hexagon?
