The values of x and y are 65 and 55 respectively
How to determine the values of x and y?
From the figure, the parallel lines are represented as:
<< and <
This means that corresponding angles are equal
From the figure, we have:
Corresponding angles y and 55
This means that
y = 55
To calculate the measure of x, we use the following equation
x + y = 120 ---- external angle on a triangle
Substitute y = 55 in x + y = 120
x + 55 = 120
Subtract 55 from both sides
x = 65
Hence, the values of x and y are 65 and 55 respectively
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