Question

find the size of each exterior angle of rectangle polygon if the number of side 5 side​

Answer 1

Solution:—

For a n-sided regular polygon, sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

$\alpha = ( \frac{n - 2}{n} ) \times {180}^{o}$

Here,

It is given that the polygon has 15 sides.

So n = 5

$= > \alpha = ( \frac{5 - 2}{5} ) \times {180}^{o}$

$= > \alpha = \frac{3}{5} \times {180}^{o} \\ \\ = > 3 \times 36 = {108}^{o}$

So each internal angle is 108°.

Internal and external angle are always supplementary. So sum of the internal and external angle is 180°.

So external angle = 180° - 108° = 72°.

Measure of each external angle is 72°.