X = 159°
Step-by-Step Explanation:
To find the missing angle, you must first find the sum of the interior angles. To do this, you can use the equation:
[tex](n - 2)180[/tex]
Let n represent the number of sides. This is a regular pentagon, therefore there are 5 sides. Your new equation is:
[tex](5 - 2)180[/tex]
Once you calculate this, you will find the answer is 540°.
Next, you need to find x. To do this, first add all of your interior angles together. If you didn't know, the square is a right angle, meaning it is 90°.
[tex]83 + 90 + 119 + 89 = 381[/tex]
Now take 540, subtract 381, and your answer is your missing angle (x).
