Question

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

Explanation:

Step1: Use parallelogram angle property

In a parallelogram, consecutive angles are supplementary, so:
$$(4p + 12) + 36 = 180$$

Step2: Simplify the equation

Combine constant terms:
$$4p + 48 = 180$$

Step3: Isolate the variable term

Subtract 48 from both sides:
$$4p = 180 - 48$$
$$4p = 132$$

Step4: Solve for $p$

Divide both sides by 4:
$$p = \frac{132}{4}$$

Answer:

9