Question

in the figure, (mangle2 = 92) and (mangle12 = 74). the measure of (angle3) is

Explanation:

Step1: Note vertical - angle relationship

$\angle2$ and $\angle3$ are adjacent angles that form a linear - pair. The sum of adjacent angles forming a linear - pair is 180 degrees.

Step2: Calculate the measure of $\angle3$

Let $m\angle3=x$. We know that $m\angle2 + x=180$. Given $m\angle2 = 92$, then $x = 180 - 92$.
$x=88$

Answer:

88