Question

in the figure below, ( mangle1 = 51^{circ} ). find ( mangle2 ).

Explanation:

Step1: Determine the relationship between angles

The two angles \( \angle1\) and \( \angle2\) are complementary (they form a right - angle, so \(m\angle1 + m\angle2=90^{\circ}\)).

Step2: Solve for \(m\angle2\)

Given \(m\angle1 = 51^{\circ}\), we substitute into the equation \(m\angle2=90^{\circ}-m\angle1\).
So \(m\angle2 = 90^{\circ}-51^{\circ}=39^{\circ}\)

Answer:

\(39\)