Question

Find the angle measure x in the given figure
pls help.

Answer 1

The given figure is a regular pentagon.

All the angles will be equal to each other and all the sides will be equal to each other in any regular polygon.

To find the measure of interior angle in a regular polygon, we apply this formula;

Each interior angle = (n-2) x 180° / n
Where n is the no: of sides of the regular polygon.

Here, n = 5 for a pentagon.

So, each interior angle will be 108°

Note:
Equation for the sum of Interior Angles = (n-2) x 180°

Answer 2

as all sides are equal, Pentagon is regular so all angles are equal
sum of angles of a regular polygon = [(n-2)180°]/n where n = no. of sides
therefore, x = [(5-2)180°]/5
= [3*180°]/5
= [540°]/5
= 108°
therefore x = 108°