Answer
$\angle M = 100˚$
$\angle P = 80˚$
Work Step by Step
This is a parallelogram so therefore a property for this shape is congruent angles, meaning that the opposite angles are equal to each other.
1. Solve for $x$ using the formula: $\angle M = \angle O$ (congruent angles)
$\angle M = \angle O$
$4x = 2x + 50$
$2x = 50$
$x = 25$
2. Solve for $\angle M$ by substituting the $x$ value into the $\angle M$ formula
$\angle M = 4x$
$\angle M = 4(25)$
$\angle M = 100˚$
3. Substitute $x$ into the $\angle O$ formula and then apply the concept of congruent angles to find $\angle P$
$\angle P = (180) - (2x + 50)$
$\angle P = (180) - (2(25) + 50)$
$\angle P = (180) - (50 + 50)$
$\angle P = 180 - 100$
$\angle P = 80˚$
