Question

Find the measure of the missing angle.​

Answer 1

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:

$(n - 2)180$

Let n represent the number of sides. This is a regular pentagon, therefore there are 5 sides. Your new equation is:

$(5 - 2)180$

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°.

$83 + 90 + 119 + 89 = 381$

Now take 540, subtract 381, and your answer is your missing angle (x).