Question

in the figure below, ( mangle1 = 83^{circ} ). find ( mangle2 ).

Explanation:

Step1: Identify the relationship between angles

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

Step2: Solve for \( m\angle2 \)

Given \( m\angle1 = 83^{\circ} \), substitute into the equation \( m\angle2=180^{\circ}-m\angle1 \). Then \( m\angle2 = 180^{\circ}-83^{\circ} \).

Answer:

\( 97 \)