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figure abcd is a parallelogram. what is the value of p? (4p + 12)° 36° …

Question

figure abcd is a parallelogram. what is the value of p? (4p + 12)° 36° 6 7 8 9

Explanation:

Step1: Use property of parallelogram

In a parallelogram, opposite angles are equal. So, \(\angle A=\angle C\).

Step2: Set up equation

We have \(4p + 12=36\).

Step3: Solve for \(p\)

Subtract \(12\) from both sides: \(4p=36 - 12\), so \(4p = 24\).
Divide both sides by \(4\): \(p=\frac{24}{4}\).

Answer:

\(6\)