Question

solve for ( k ) in the parallelogram below.

Explanation:

Step1: Set angles equal (parallelogram property)

$\boldsymbol{-3k + 19 = 49}$

Step2: Isolate term with $k$

$-3k = 49 - 19$
$-3k = 30$

Step3: Solve for $k$

$k = \frac{30}{-3}$

Answer:

$k = -10$