The numerical value of y is 5
How to determine the value of y?
The given parameters are
PQS = 8y - 3
QRS = 5y + 12
The angles are congruent.
So, we have
PQS = QRS
Substitute the known values in the above equation
So, we have
8y - 3 = 5y + 12
Evaluate the like terms
3y = 15
Divide both sides by 3
y = 5
Hence, the numerical value of y is 5
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