Question

please find this friend with steps​

Answer 1

Answer:

i) 40

ii) 24

Step-by-step explanation:

Use above picture to be explained

Hope it helps!!!!

Answer 2

Explanation:

Short method:

The easiest way to find the measure of each exterior angle is to divide 360 by the number of sides.

We have to find the exterior angles for regular polygons of sides 9 and 15.

Hence,

$\textsf{Measure of each exterior angle of 9-sided regular polygon}$ $\mathsf{=\frac{360}{9}=40}$

$\textsf{Measure of each exterior angle of a 15-sided regular polygon}$ $\mathsf{=\frac{360}{15}=24}$

Long method:

The more complicated means to find the exterior angle is to find the measure of each interior angle and subtracting it from 180°.

We know that

$\textsf{Measure of each interior angle of a regular polygon}$ $\mathsf{=\frac{(n-1)\times180}{n}}$

where n is the number of sides.

$\textsf{Measure of each interior angle of a 9-sided regular polygon}$ $\mathsf{=\frac{(9-2)\times180}{9}=2\times20=140}$

Hence, since the interior and exterior angles form a linear pair,

$\textsf{Measure of each exterior angle = 180 - 140 = 40}$

Similarly,

$\textsf{Measure of each interior angle of a 15-sided regular polygon}$$\mathsf{=\frac{(15-2)\times180}{15}=13\times12=156}$

$\textsf{Measure of each exterior angle = 180 - 156 = 24}$

Answer: i) 40° ii) 24°

I hope this helps. :D