The value of x is 36 and the value of y is 108
How to calculate the values of x and y?
The diagram that completes the question is added as an attachment
From the figure, we have:
Internal angles within a transversal = 3x and 2x
The sum of these angles is 180 degrees.
So, we have
3x + 2x =180
Evaluate the sum
5x = 180
Divide both sides by 5
x = 36
Also, we have
y = 3x ---- vertical angles
Substitute x = 36 in y = 3x
y = 3 * 36
Evaluate the product
y = 108
Hence, the value of x is 36 and the value of y is 108
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