Question

Refer to the porch stairs shown. Line mis parallel to line n and mis 35. And the measure of Justify your answer >> Bell 5

Answer 1

When you have two parallel lines (lines m and n) crossed by a transversal (porch stain) the angles 7 and 8 sum 180º and angles 1 and 8 are alternate exterior angles (have the same measure)

Then to find the measure of angle 1:

1. Find the measure of angle 8:

`\begin{gathered} m\angle8=180º-m\angle7 \\ m\angle8=180º-35º=145º \end{gathered}`

2. Alternate exterior angles have the same measure:

`\begin{gathered} m\angle8=m\angle1 \\ \\ m\angle1=145º \end{gathered}`Then, angle 1 is 145º