Question

in the figure below, ( m angle 2 = 42 ^ { circ } ). find ( m angle 1 ).

Explanation:

Step1: Use the linear - pair relationship

Angles \( \angle1\) and \( \angle2\) form a linear pair. The sum of angles in a linear pair is \(180^{\circ}\). So, \(m\angle1 + m\angle2=180^{\circ}\).

Step2: Solve for \(m\angle1\)

Given \(m\angle2 = 42^{\circ}\), substitute into the equation \(m\angle1+42^{\circ}=180^{\circ}\). Then \(m\angle1=180^{\circ}- 42^{\circ}\).

$$
LATEXBLOCK0
$$

Answer:

\(138\)