Question

lesson 3.2 exit ticket (calculator not allowed)
using the diagram below, find the measure of the indicated angle
if m∠1 = 114°, find m∠8 =

Explanation:

Step1: Identify angle - pair relationship

$\angle1$ and $\angle5$ are corresponding angles. So, $m\angle5=m\angle1 = 114^{\circ}$

Step2: Use linear - pair property

$\angle5$ and $\angle8$ are a linear pair. Since the sum of angles in a linear pair is $180^{\circ}$, we have $m\angle5 + m\angle8=180^{\circ}$

Step3: Solve for $m\angle8$

$m\angle8=180^{\circ}-m\angle5$. Substituting $m\angle5 = 114^{\circ}$, we get $m\angle8=180 - 114=66^{\circ}$

Answer:

$66^{\circ}$