Question

in the figure below, ( m angle 2 = 31 ^ { circ } ). find ( m angle 1 ).
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( m angle 1 = )

Explanation:

Step1: Identify the relationship between angles

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

Step2: Solve for $m\angle1$

Given $m\angle2 = 31^{\circ}$, then $m\angle1=90^{\circ}-m\angle2$.
Substitute $m\angle2 = 31^{\circ}$ into the formula: $m\angle1=90^{\circ}-31^{\circ}$.
Calculate $90 - 31=59$.

Answer:

$59$