Question

what is the value of k? image of a straight line with a ray forming an 81° angle and angle k, and a blank box for the answer with a submit button

Explanation:

Step1: Identify angle relationship

The two angles (k and \(81^\circ\)) form a linear pair, so their sum is \(180^\circ\).
\[k + 81^\circ = 180^\circ\]

Step2: Solve for k

Subtract \(81^\circ\) from both sides.
\[k = 180^\circ - 81^\circ\]
\[k = 99^\circ\]

Answer:

\(99\)