Question

Find the measure of the missing angle.
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Answer 1

X = 159°

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).

Answer 2

The measure of the missing angle is x = 159°

How to find the measure of the missing angle?

Remember that a little square means that the measure of the angle is 90°, and that the sum of the interior angles of a pentagon must be 540°, then we can write the following equation:

x + 83 + 90 + 119 + 89 = 540

Solving this equation for x, we will get:

x = 540 - (83 + 90 + 119 + 89)

x = 159