Question

Find the value of x in the following figures.​

Answer 1

Answer:

45 degree

Step-by-step explanation:

All sides are equal so all angles will equal

As all angles are equal then

We know that sum of all exterior angles is 360 degree

And total no. of sides are 8

So,360/8

=45

Therefore, answer is 45 degree.

Answer 2

formula for exterior angle is given as

${\tt{\boxed{\purple{\large{cos \: \theta \: = \: cos\frac{2\pi}{n}}}}}}$

where,

• 2π = 360°
• n = no of sides

solving( d )part

$cos x \: = \: cos \frac{360°}{6} \\ {\tt{\boxed{\bold{x \: = 60°}}}}$

solving (a) part :

$x \: = \frac{360}{8}$

${\tt{\boxed{\bold{x \: = 45°}}}}$