Question

in the figure below, ( mangle1 = 50^{circ} ). find ( mangle2 ).

Explanation:

Step1: Determine 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 $m\angle2$

Given $m\angle1 = 50^{\circ}$, substitute into the equation: $m\angle2=90^{\circ}-m\angle1$.
So, $m\angle2 = 90^{\circ}-50^{\circ}$.

Answer:

$40$