Answer:
Explanation:
First look at the top angle → (4x-10)°
From the rules of parallel lines (which is what the m ║ n symbol represents), we know that this angle, plus the one next to it, on the other side of the line, must equal 180°. We also know, via the corresponding angles rule (see image below) that this missing angle will be equal to (8x - 2)°. Hence, our first equation will be:
180 = (4x-10) + (8x-2)
180 = 12x - 12
192 = 12x
x = 16
Now to find y, we can use the rule that vertically opposite angles are always equal. Hence, (8x-2) and (2y) are equal in this case:
8x - 2 = 2y
8(16) - 2 = 2y (substitute our value for x in)
128 - 2 = 2y
126 = 2y
y = 63
Hope that helps!