Question

3.3 practice ws (ll lines & transversals)for #1 - 6, list all pairs/sets of angles that fit the description. label the transversal, t & highlight the interior. make sure to use the angle symbol when naming the angles!!!1) corresponding angles (4 sets):____ & __ ; __ & __ ; __ & __ ; __ & __ ;2) alternate interior angles (2 sets):__ & __ ; __ & __ ;3) alternate exterior angles (2 sets):__ & __ ; __ & __ ;4) same side interior angles (2 sets):__ & __ ; __ & __ ;5) vertical angles (4 sets):__ & __ ; __ & __ ; __ & __ ; __ & __ ;6) linear pairs/supplementary angles (4+ sets):__ & __ ; __ & __ ; __ & __ ; __ & ____ ;

Explanation:

Step1: Corresponding Angles

Corresponding angles are in the same relative position.
$\angle1\ \&\ \angle5$, $\angle2\ \&\ \angle6$, $\angle3\ \&\ \angle7$, $\angle4\ \&\ \angle8$

Step2: Alternate Interior Angles

Alternate interior angles are between the two lines and on opposite sides of the transversal.
$\angle3\ \&\ \angle6$, $\angle4\ \&\ \angle5$

Step3: Alternate Exterior Angles

Alternate exterior angles are outside the two lines and on opposite sides of the transversal.
$\angle1\ \&\ \angle8$, $\angle2\ \&\ \angle7$

Step4: Same Side Interior Angles

Same - side interior angles are between the two lines and on the same side of the transversal.
$\angle3\ \&\ \angle5$, $\angle4\ \&\ \angle6$

Step5: Vertical Angles

Vertical angles are opposite each other when two lines intersect.
$\angle1\ \&\ \angle3$, $\angle2\ \&\ \angle4$, $\angle5\ \&\ \angle7$, $\angle6\ \&\ \angle8$

Step6: Linear Pairs/Supplementary Angles

Linear pairs are adjacent angles that form a straight line (sum to \(180^{\circ}\)).
$\angle1\ \&\ \angle2$, $\angle2\ \&\ \angle3$, $\angle3\ \&\ \angle4$, $\angle4\ \&\ \angle1$, $\angle5\ \&\ \angle6$, $\angle6\ \&\ \angle7$, $\angle7\ \&\ \angle8$, $\angle8\ \&\ \angle5$

Answer:

1. $\angle1\ \&\ \angle5$, $\angle2\ \&\ \angle6$, $\angle3\ \&\ \angle7$, $\angle4\ \&\ \angle8$
2. $\angle3\ \&\ \angle6$, $\angle4\ \&\ \angle5$
3. $\angle1\ \&\ \angle8$, $\angle2\ \&\ \angle7$
4. $\angle3\ \&\ \angle5$, $\angle4\ \&\ \angle6$
5. $\angle1\ \&\ \angle3$, $\angle2\ \&\ \angle4$, $\angle5\ \&\ \angle7$, $\angle6\ \&\ \angle8$
6. $\angle1\ \&\ \angle2$, $\angle2\ \&\ \angle3$, $\angle3\ \&\ \angle4$, $\angle4\ \&\ \angle1$, $\angle5\ \&\ \angle6$, $\angle6\ \&\ \angle7$, $\angle7\ \&\ \angle8$, $\angle8\ \&\ \angle5$