Question

in the picture, one angle is labeled $22^\circ$ and lines s and t are parallel. name four angles that measure $158^\circ$?
remember to select 4 answers.
(4 points)
□ 1
□ 2
□ 3
□ 4
□ 5
□ 6
□ 7

Explanation:

Step1: Identify supplementary angle rule

Supplementary angles sum to $180^\circ$. For the $22^\circ$ angle, its supplement is $180^\circ - 22^\circ = 158^\circ$.

Step2: Identify vertical/alternate angles

• $\angle 7$ is supplementary to $22^\circ$: $180-22=158^\circ$
• $\angle 5$ is vertical to $\angle 7$, so $\angle 5=158^\circ$
• $\angle 1$ is corresponding to $\angle 5$, so $\angle 1=158^\circ$
• $\angle 3$ is vertical to $\angle 1$, so $\angle 3=158^\circ$

Answer:

1. $\boldsymbol{\angle 1}$
2. $\boldsymbol{\angle 3}$
3. $\boldsymbol{\angle 5}$
4. $\boldsymbol{\angle 7}$