Question

visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ problems below. try this video for extra example 4 - identifying angle pairs 4) identify four linear pairs and the four vertical angle pairs in the figure. linear pairs: vertical angle pairs:

Explanation:

Step1: Define linear pairs

Linear pairs are adjacent angles that form a straight line (sum to $180^\circ$). Identify adjacent angle pairs sharing a straight side:

1. $\angle 1$ and $\angle 2$
2. $\angle 2$ and $\angle 3$
3. $\angle 3$ and $\angle 4$
4. $\angle 4$ and $\angle 1$
5. $\angle 5$ and $\angle 6$
6. $\angle 6$ and $\angle 7$
7. $\angle 7$ and $\angle 8$
8. $\angle 8$ and $\angle 5$

(Select any 4 of these valid pairs)

Step2: Define vertical angles

Vertical angles are non-adjacent opposite angles formed by intersecting lines (congruent). Identify opposite angle pairs:

1. $\angle 1$ and $\angle 3$
2. $\angle 2$ and $\angle 4$
3. $\angle 5$ and $\angle 7$
4. $\angle 6$ and $\angle 8$

Answer:

Linear pairs (any 4 valid pairs):

• $\angle 1$ and $\angle 2$
• $\angle 2$ and $\angle 3$
• $\angle 5$ and $\angle 6$
• $\angle 6$ and $\angle 7$

Vertical angle pairs:

• $\angle 1$ and $\angle 3$
• $\angle 2$ and $\angle 4$
• $\angle 5$ and $\angle 7$
• $\angle 6$ and $\angle 8$