Yes. Your answer is correct
X would be 63, Y would be 27
A straight line is 180 degrees. 180-117=63
To find Y, since we know it is a 90 degree angle do 90-63 which is 27.
Is this the whole question?
The perimeter of the pentagon is approximately 19.6.
<h3>Procedure - Determination of the perimeter of a pentagon</h3><h3 />
In this question we must plot the locations of each vertex on a Cartesian plane to determine the line segments that form the perimeter, whose lengths are determined by Pythagorean theorem and sum the resulting values to find the perimeter.
According to the image attached below, the line segments of the pentagon are MN, NP, PQ, QR and RM. By Pythagorean theorem we have the following lengths:
<h3>Line segment MN</h3><h3 /><h3>
![l_{MN} = \sqrt{[2-(-2)]^{2}+(5-5)^{2}}](https://tex.z-dn.net/?f=l_%7BMN%7D%20%3D%20%5Csqrt%7B%5B2-%28-2%29%5D%5E%7B2%7D%2B%285-5%29%5E%7B2%7D%7D)
</h3><h3>

</h3><h3 /><h3>Line segment NP</h3><h3 /><h3>

</h3><h3>

</h3><h3 /><h3>Line segment PQ</h3><h3 /><h3>

</h3><h3>

</h3><h3 /><h3>Line segment QR</h3><h3 /><h3>

</h3><h3>

</h3><h3 /><h3>Line segment RM</h3><h3 />


And the perimeter of the pentagon is:
(1)



The perimeter of the pentagon is approximately 19.6. 
To learn more on pentagons, we kindly invite to check this verified question: brainly.com/question/27476
Answer:
Answer below
Step-by-step explanation:
3 - 19
4 - 25
5 - 31
6 - 37