The solution to the problem in the figure attached in the question is: x = 130°, y = 50°
What are alternate angles?
Alternate angles are angles that are formed in a situation whereby a line intersects two other lines, which lie on opposite sides of a transverse line and on contrasting proximate sides of the other lines.
From the given figure:
Angle x is an alternate angle to angle 130°.
Thus, x = 130°
Using the sum of angles on a straight line:
x + y = 180°
130° + y = 180°
y = 180° - 130°
y = 50°
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