Question

1. find the value of p that makes quadrilateral vwxy a parallelogram.

y
v
w
p+48°
9p
x
p = \boxed{\space}°

Explanation:

Step1: Use parallelogram consecutive angles property

Consecutive angles in a parallelogram are supplementary, so:
$$9p + (p + 48) = 180$$

Step2: Simplify the equation

Combine like terms:
$$10p + 48 = 180$$

Step3: Isolate the variable term

Subtract 48 from both sides:
$$10p = 180 - 48$$
$$10p = 132$$

Step4: Solve for p

Divide both sides by 10:
$$p = \frac{132}{10} = 13.2$$

Answer:

$13.2$