Question

6. The value of x in the following figure is
(a)100
(6)90°
(C)108°
(d)120°​

Answer 1

Answer:

Answer is C as it is an equilatrral pentagon. The sum of all interior angle of Pentagon is 540 degrees and each angle of equilateral pentagon is 108 degrees

Answer 2

The value of x = 108°

The total of the interior angles of a pentagon is 540°.

In total, a pentagon has 5 interior angles

So a single interior angle is equal to $\frac{540}{5}$  = 108°

When all of the sides of a pentagon are equal and all of the angles are equal in size, the pentagon is called a regular polygon. Otherwise, it is referred to as an irregular polygon. The inner angle of a regular pentagon is equal to 108°, and the outside angle is equal to 72°.

In geometry, an equilateral pentagon is a polygon having five equal-length sides. Its five internal angles, in turn, can take a variety of values, allowing it to create a pentagon family.