Question

Where can I find L2 and L3 for a missing corresponding angles?

Answer 1

Step-by-step 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.

`\begin{gathered} \angle3+\angle4=180 \\ 56.1+\angle4=180_{} \\ \text{Simplify and rearrange} \\ \angle4=180-56.1 \\ \angle4=123.9 \end{gathered}`

For <2 and <1:

We plug in what we know.

`\begin{gathered} \angle2+\angle1=180 \\ \angle2+123.9=180 \\ \angle2=180-123.9 \\ \angle2=56.1 \end{gathered}`

Therefore, <2 = 56.1° while <4= 123.9°.