Question

find the value of $p$ in parallelogram $tuvw$.
$p = \square^\circ$

Explanation:

Step1: Use parallelogram consecutive angles property

Consecutive angles in a parallelogram are supplementary, so:
$$2p + (p + 69^\circ) = 180^\circ$$

Step2: Simplify the left-hand side

Combine like terms:
$$3p + 69^\circ = 180^\circ$$

Step3: Isolate the term with $p$

Subtract $69^\circ$ from both sides:
$$3p = 180^\circ - 69^\circ$$
$$3p = 111^\circ$$

Step4: Solve for $p$

Divide both sides by 3:
$$p = \frac{111^\circ}{3}$$

Answer:

$37^\circ$