Advertisements
Advertisements
प्रश्न
Which of the following is not true for an exterior angle of a regular polygon with n sides?
विकल्प
Each exterior angle = `360^circ/n`
Exterior angle = 180° – interior angle
`n = 360^circ/"exterior angle"`
Each exterior angle = `((n - 2) xx 180^circ)/n`
उत्तर
`bb("Each exterior angle" = ((n - 2) xx 180^circ)/n`
Explanation:
We know that, (a) and (b) are the formulae to find the measure of each exterior angle, when number of sides and measure of an interior angle respectively are given and (c) is the formula to find number of sides of polygon when exterior angle is given.
Hence, the formula given in option (d) is not true for an exterior angle of a regular polygon with n sides.
APPEARS IN
संबंधित प्रश्न

The number of sides of a regular polygon where each exterior angle has a measure of 45° is ______.
The measure of each exterior angle of a regular polygon of 18 sides is ______.
The sum of all exterior angles of a polygon is ______.
Triangle is a polygon whose sum of exterior angles is double the sum of interior angles.
The sum of interior angles and the sum of exterior angles taken in an order are equal in case of quadrilaterals only.
The interior angles of a triangle are in the ratio 1:2:3, then the ratio of its exterior angles is 3:2:1.
The ratio between exterior angle and interior angle of a regular polygon is 1:5. Find the number of sides of the polygon.
Find maximum number of acute angles which a convex, a quadrilateral, a pentagon and a hexagon can have. Observe the pattern and generalise the result for any polygon.