Question

figure abcd is a parallelogram. what is the value of p? 6 7 9 8

Explanation:

Step1: Use the property of parallelogram

In a parallelogram \(ABCD\), \(AB\parallel CD\). So, \(\angle A=\angle C\) (alternate - interior angles are equal).
We know that \(\angle A=(4p + 12)^{\circ}\) and \(\angle C = 36^{\circ}\).

Step2: Set up the equation

Set \(4p+12 = 36\).
Subtract \(12\) from both sides of the equation: \(4p=36 - 12\).
So, \(4p=24\).

Step3: Solve for \(p\)

Divide both sides of the equation \(4p = 24\) by \(4\). We get \(p=\frac{24}{4}=6\).

Answer:

\(6\)