Question

Erica is making plans to build a fence on her property line. She uses the map shown. Find the m<1​

Answer 1

Check the picture below.

now, we're assuming the street is a straight line and the line above the 100° is also another straight line, so hmmm the shaded polygon is really a 6-sided polygon, a hexagon.

`\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies S=180(6-2)\implies S=720 \\\\\\ 142+72+148+130+80+\measuredangle 1=720\implies 572+\measuredangle 1=720\implies \boxed{\measuredangle 1=148}`