Question

in the figure below, ( mangle 2 = 31^circ ). find ( mangle 1 ).

Explanation:

Step1: Identify angle relationship

The two angles \( \angle 1 \) and \( \angle 2 \) form a right angle, so \( m\angle 1 + m\angle 2 = 90^\circ \).

Step2: Substitute \( m\angle 2 = 31^\circ \)

\( m\angle 1 + 31^\circ = 90^\circ \)

Step3: Solve for \( m\angle 1 \)

\( m\angle 1 = 90^\circ - 31^\circ = 59^\circ \)

Answer:

\( 59 \)