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

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

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

Answer

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, opposite - angles are equal. So, $\angle A=\angle C$.

Step2: Set up the equation

We have the equation $4p + 12=36$.

Step3: Solve for $p$

Subtract 12 from both sides: $4p=36 - 12$, so $4p = 24$. Then divide both sides by 4: $p=\frac{24}{4}=6$.

Answer:

6