Question

what is m∠1? 67° 77° m∠1 = □°

Explanation:

Step1: Find the third angle of the triangle

The sum of angles in a triangle is \(180^\circ\). Let the third angle be \(x\). So, \(x + 77^\circ+ 67^\circ = 180^\circ\). Solving for \(x\), we get \(x=180^\circ - 77^\circ - 67^\circ = 36^\circ\).

Step2: Find \(m\angle1\)

\(\angle1\) and the third angle of the triangle are supplementary (they form a linear pair), so \(m\angle1 + 36^\circ = 180^\circ\). Then, \(m\angle1 = 180^\circ - 36^\circ = 144^\circ\).

Answer:

\(144\)