Question

two parallel lines are crossed by a transversal. what is the value of k? k = 9 k = 20 k = 60 k = 71 (2k + 11)° 131°

Explanation:

Step1: Use corresponding - angles property

When two parallel lines are crossed by a transversal, corresponding angles are equal. So, $2k + 11=131$.

Step2: Solve the equation for $k$

Subtract 11 from both sides of the equation: $2k=131 - 11$.
$2k = 120$.
Divide both sides by 2: $k=\frac{120}{2}$.
$k = 60$.

Answer:

$k = 60$