Question

Which of the following is not true for an exterior angle of a regular polygon with n sides?

Options

• 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`

Answer 1

`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.