Question

find x.
(there is a diagram with angles 60° and 113°, and an angle labeled x°)
x =

Explanation:

Step1: Find the supplementary angle

The angle adjacent to \(113^\circ\) in the triangle is supplementary to \(113^\circ\), so it is \(180^\circ - 113^\circ = 67^\circ\).

Step2: Use triangle angle sum

In a triangle, the sum of angles is \(180^\circ\). We know one angle is \(60^\circ\) and another is \(67^\circ\), so the third angle (vertical to \(x\)) is \(180^\circ - 60^\circ - 67^\circ = 53^\circ\). Since \(x\) and this angle are vertical angles, \(x = 53\).

Answer:

\(x = 53\)