Question

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

Explanation:

Step1: Recall parallelogram angle property

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

6