Question

what is m∠1?
m∠1 = □°

Explanation:

Step1: Find the third angle of the triangle

The sum of the interior angles of a triangle is \(180^\circ\). Given two angles are \(37^\circ\) and \(86^\circ\), let the third angle be \(x\). So \(x = 180^\circ - 37^\circ - 86^\circ\).
\(x = 180 - 37 - 86 = 57^\circ\)

Step2: Find \(m\angle1\)

\(\angle1\) and the third angle of the triangle are supplementary (they form a linear pair), so \(m\angle1 = 180^\circ - 57^\circ\).
\(m\angle1 = 123^\circ\)

Answer:

\(123\)