Question

in the figure, ( j parallel k ) and ( mangle 2 = 117^circ ). what is the ( mangle 3 )? enter your answer in the box. \\( \square ^circ \\)

Explanation:

Step1: Identify supplementary angles

$\angle 2$ and $\angle 3$ are supplementary (form a linear pair), so their sum is $180^\circ$.

Step2: Calculate $m\angle 3$

Subtract $m\angle 2$ from $180^\circ$.
$m\angle 3 = 180^\circ - 117^\circ$

Answer:

$63$