Question

in the figure below, ( m angle 2 = 109 ^ { circ } ). find ( m angle 1 ).

Explanation:

Step1: Use the linear - pair relationship

Angles \(∠1\) and \(∠2\) form a linear pair. The sum of angles in a linear pair is \(180^{\circ}\), so \(m∠1 + m∠2=180^{\circ}\).

Step2: Solve for \(m∠1\)

Given \(m∠2 = 109^{\circ}\), substitute into the equation: \(m∠1=180^{\circ}-m∠2\).

$$m∠1 = 180^{\circ}- 109^{\circ}$$

$$m∠1=71^{\circ}$$

Answer:

\(71^{\circ}\)