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:
Let n represent the number of sides. This is a regular pentagon, therefore there are 5 sides. Your new equation is:
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°.
Now take 540, subtract 381, and your answer is your missing angle (x).
We can see that the ".16" takes up two place values after the decimal point this means that it is 16 hundredths or . 4.16 as a fraction can therefore be written as or if you want it simplified, .