Question

find x.
37°
x °
92°
x =

Explanation:

Step1: Find the supplementary angle

The angle of \(92^\circ\) and its adjacent angle on a straight line are supplementary, so the adjacent angle is \(180^\circ - 92^\circ = 88^\circ\).

Step2: Use the triangle angle - sum property

In a triangle, the sum of interior angles is \(180^\circ\). We know one angle is \(37^\circ\), another is \(88^\circ\), and the third is \(x\). So \(x=180^\circ-(37^\circ + 88^\circ)\)
\(x = 180^\circ-125^\circ=55^\circ\)

Answer:

\(x = 55\)