Answer: x = 61 and y = 29
Step-by-step explanation: In this problem, notice that we
have a transversal that intersects two coplanar lines at different points.
Let's start by finding the value of y.
In the diagram, 2y and 58 are corresponding angles and if two
parallel lines are cut by a trans. corr. <'s must be congruent.
So we can setup the equation 2y = 58.
Solving from here, we find that y = 29.
Now, notice that 58 and 2x form a straight angle or a linear pair.
When two angles form a straight angle, they are supplementary.
So we can setup the equation 2x + 58 = 180.
Solving from here, we find that x = 61.