Find the measure of angle x in the figure below:

First, we need to find the angle of y. We're given a straight line with three adjacent angles, one of which is y. We know the total of adjacent angles along a straight line should be 180 degrees. Therefore:

52 + y + 59 = 180

y = 69

Now, we know two angles of the triangle. We know the total of the interior angles of a triangle must be 180 degrees. Therefore:

x + 63 + 69 = 180

x = 48

Thus, x is equal to 48.

Hello!

As you can see, 52+y+59=180. We can solve for y below.

180-52-59=69

Now we know that all of the interior angles of a triangle equal 180. We will solve for x below.

180-69-63=48

Therefore, x=48°.

I hope this helps!