to find the values of x and y, you do this:
In the figure there are 3 different triangles made up. So lets start with the big one in the middle.
As you may already know, all 3 angles of a triangle add up to 180. And you already know 2 of the angles which are 35 and 30. When added together it is 65. so to find the last angle, you subtract 65 from 180. and that equals 115. so the last angle in that triangle is 115 degrees.
Now you already know all the angles of 1 triangle so lets go to the next step.
Next to the angle we just found there 2 other angles on either side of it. And they are supplementary to the angle we just found. And supplementary angles are 2 angles that add up to 180 degrees. And since we already know that that angle is 115, we just have to subtract that from 180. and that equals 65. So both of those angles equal 65. And if you dont know, they both equal the same because they are vertical angles and vertical angles always equal the same amount.
Now we know 2 angles of both the side triangles. We have the 65 that we just found, and since their right angles we have 90. So 65 and 90 add up to 155. And 155 subtracted from 180 equals 25. And 25 is the measure of the last angles wich are x and y.
So the values of X and Y are 25 degrees.
