Question

find the measure of angle x. angle x measures \boxed{}°

Explanation:

Step1: Find angle y (triangle angle sum)

The sum of angles in a triangle is \(180^\circ\). So, \(y = 180^\circ - 45^\circ - 66^\circ\)
\(y = 180 - 45 - 66 = 69^\circ\)

Step2: Find angle x (linear pair)

Angles \(y\) and \(x\) form a linear pair, so they sum to \(180^\circ\). Thus, \(x = 180^\circ - y\)
Substitute \(y = 69^\circ\): \(x = 180 - 69 = 111^\circ\)

Answer:

\(111\)