Question

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

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, opposite angles are equal. So, \(\angle A=\angle C\).
Given \(\angle A=(4p + 12)^\circ\) and \(\angle C = 36^\circ\), we set up the equation:
\(4p+12 = 36\)

Step2: Solve for \(p\)

Subtract 12 from both sides:
\(4p=36 - 12\)
\(4p = 24\)

Divide both sides by 4:
\(p=\frac{24}{4}\)
\(p = 6\)

Answer:

\(p = 6\)