Question

what is m∠1? 55° 81° m∠1 = □°

Explanation:

Step1: Find the third angle of the triangle

The sum of the interior angles of a triangle is \(180^\circ\). Let the third interior angle be \(x\). So, \(x + 55^\circ+ 81^\circ = 180^\circ\). Solving for \(x\), we get \(x=180^\circ - 55^\circ - 81^\circ=44^\circ\).

Step2: Find \(m\angle1\)

\(\angle1\) and the third interior angle are supplementary (they form a linear pair), so \(m\angle1 + 44^\circ = 180^\circ\). Then, \(m\angle1=180^\circ - 44^\circ = 136^\circ\).

Answer:

\(136\)