Question

3.2 hw: angles and parallel lines with algebra
in the figure, m∠2 = 92 and m∠12 = 74.
the measure of ∠3 is
106 92 88 74 90

Explanation:

Step1: Identify angle - pair relationship

$\angle2$ and $\angle3$ are supplementary angles (linear - pair).

Step2: Use the supplementary - angle property

The sum of supplementary angles is $180^{\circ}$. So, $m\angle2 + m\angle3=180$.

Step3: Solve for $m\angle3$

Given $m\angle2 = 92$, then $m\angle3=180 - m\angle2$. Substitute $m\angle2 = 92$ into the equation: $m\angle3=180 - 92=88$.

Answer:

88