Answer:
Explanation:
Given:
<1=123.9°
<3=56.1°
Based on the given figure, the angles formed a straight line (Ex. <3 and <4). Angles on a straight line add up to 180°. So,
For <3 and <4:
We plug in what we know.
[tex]\begin{gathered} \angle3+\angle4=180 \\ 56.1+\angle4=180_{} \\ \text{Simplify and rearrange} \\ \angle4=180-56.1 \\ \angle4=123.9 \end{gathered}[/tex]
For <2 and <1:
We plug in what we know.
[tex]\begin{gathered} \angle2+\angle1=180 \\ \angle2+123.9=180 \\ \angle2=180-123.9 \\ \angle2=56.1 \end{gathered}[/tex]
Therefore, <2 = 56.1° while <4= 123.9°.
