Question

in the figure below, ( m angle 2 = 59 ^ { circ } ). find ( m angle 1 ).

Explanation:

Step1: Identify the relationship between angles

Angles \( \angle1 \) and \( \angle2 \) are complementary (sum to \( 90^{\circ} \)).

Step2: Calculate \( m\angle1 \)

Using the formula \( m\angle1=90^{\circ}-m\angle2 \).
Substitute \( m\angle2 = 59^{\circ} \):
\( m\angle1=90^{\circ}-59^{\circ} \)
\( m\angle1 = 31^{\circ} \)

Answer:

\( 31 \)