Question
In Exercises 21-24 find the value of x.(See Example 5.) 21. 22
Answer
3.9
(291 Votes)
Jarvis
Master · Tutor for 5 years
Answer
To find the value of
in the given hexagon, we need to use the property that the sum of the exterior angles of any polygon is always 360 degrees. This is true regardless of the number of sides the polygon has.Given the exterior angles of the hexagon are 39 degrees, 50 degrees, 48 degrees, 59 degrees, 58 degrees, and
degrees, we can set up the following equation to find
:
Now, let's add up the given angles:
Next, we subtract the sum of the known angles from 360 degrees to find
:
Therefore, the value of
is 106 degrees.