Answer
$m = 12$
$x = 15$
Work Step by Step
In parallelograms, opposite sides are congruent, so let's set the expressions for opposite sides equal to one another to solve for $m$:
$m + 7 = 3m - 17$
$m = 3m - 24$
Subtract $3m$ from both sides of the equation to isolate the variable on the left side of the equation:
$-2m = -24$
Divide each side by $-2$ to solve for $m$:
$m = 12$
In parallelograms, consecutive angles are supplementary, so let's set the sum of the expressions for the two consecutive angles equal to $180$:
$3x + (8x + 15) = 180$
Combine like terms:
$11x + 15 = 180$
Subtract $15$ from each side of the equation to isolate constants on the right side of the equation:
$11x = 165$
Divide both sides of the equation by $11$ to solve for $x$:
$x = 15$
