Question

lesson 3.2 exit ticket (calculator not allowed)
using the diagram below, find the measure of the indicated angle
if m∠2 = 74°; find m∠3 =

Explanation:

Step1: Identify angle - relationship

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

Step2: Use supplementary - angle formula

$m\angle2 + m\angle3=180^{\circ}$.

Step3: Solve for $m\angle3$

$m\angle3 = 180^{\circ}-m\angle2$.

Step4: Substitute the value of $m\angle2$

$m\angle3=180 - 74$.
$m\angle3 = 106^{\circ}$.

Answer:

$106^{\circ}$