What is the value of x from the below figure?
6, 8, 10, 12

Solution:

Given the exterior angles of a pentagon

The sum of the exterior angles of a polygon is 360°.

So we shall add all the given angles and equate to 360.

66 + 62 + 77 + 59 + 12x = 360

12x + 264 = 360

12x = 360 - 264

12x = 96

x = 8

The value of x is 8.

What is the value of x from the below figure? 6, 8, 10, 12

Summary:

The value of x in the given pentagon is 8.