Question

Geometry MAFS.912.G-C0.3.9 11. Peach Street and Cherry Street are parallel. Apple Street intersects them as shown in the diagram below. Apple Street 12 RS Peach Street Cherry Street If mZ1 = 2x +36 and m22 = 7x-9, what is m 1? A 9 B. 17 C. 54 D. 70

Answer 1

`\begin{gathered} m\angle1=2x+36 \\ m\angle2=7x-9 \end{gathered}`
`\begin{gathered} 2x+36+7x-9=180 \\ 9x=180-36+9 \\ 9x=153 \\ x=(153)/(9) \\ x=17 \end{gathered}`

therefore,

`m\angle1=2(17)+36=34+36=70`