The value of x and the value of y in degrees is 78° and 115°.
What are alternate angles?
The angles which lie on the alternate side of the line between two parallel lines.
Parallel lines p and q are cut by two non-parallel lines, m and n, as shown in the figure.
From the corresponding angles property,
Then angle to the side of x is also 102°
From linear angle property,
x +102° =180°
x = 78°
From the corresponding angles property,
Then angle y is 115°
Thus, the value of x and the value of y in degrees is 78° and 115°.
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