Question

in the figure below, ( mangle 2 = 34^{circ} ). find ( mangle 1 ).

Explanation:

Step1: Use the property of complementary angles

Complementary angles sum to \(90^{\circ}\). So \(m\angle1 + m\angle2=90^{\circ}\).

Step2: Solve for \(m\angle1\)

Given \(m\angle2 = 34^{\circ}\), then \(m\angle1=90^{\circ}-m\angle2\). Substitute \(m\angle2 = 34^{\circ}\) into the equation: \(m\angle1=90^{\circ}- 34^{\circ}\).
Calculate \(90 - 34=56\).

Answer:

\(56\)