Question

find the values of the variables.
(simplify your answer. do not include the degree - symbol in your answer.)
(simplify your answer. do not include the degree - symbol in your answer.)

Explanation:

Step1: Identify angle - relationships

Since the two angles are vertical angles, they are equal. So \(x = 26\).

Step2: Consider linear - pair or other relationships for \(y\)

There is not enough information given in the description about the relationship of \(y\) to the known \(26^{\circ}\) angle or other elements in the figure. If we assume \(y\) and \(26^{\circ}\) are supplementary (a common situation in angle - finding problems with intersecting lines), then \(y=180 - 26\).
\(y = 154\)

Answer:

\(x = 26\)
\(y = 154\)