Question

what is m∠1? m∠1=□°

Explanation:

Step1: Find the adjacent angle to 146°

Since a straight angle is \(180^\circ\), the angle inside the triangle adjacent to \(146^\circ\) is \(180^\circ - 146^\circ = 34^\circ\).

Step2: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^\circ\). Let \(m\angle1=x\), we know one angle is \(86^\circ\) and another is \(34^\circ\). So \(x + 86^\circ+ 34^\circ=180^\circ\).
Simplify the left - hand side: \(x + 120^\circ=180^\circ\).
Subtract \(120^\circ\) from both sides: \(x=180^\circ - 120^\circ = 60^\circ\).

Answer:

\(60\)