Question

I need help solving 1-5 on both questions. I have pictures below showing the questions. Thanks for your help.

Answer 1

Step 1

Find the angles

`\begin{gathered} m\angle3=180-90-35=55^(\circ)\text{(sum of angles in a triangle=180 degr}ees) \\ m\angle1=35^(\circ)(corresponding\text{ angles in similar triangles)} \\ \end{gathered}`
`m\angle2=180-m\angle1=180-35=145^(\circ)(sum\text{ of angles on a straight line)}`
`\begin{gathered} m\angle5=180-90-35=55^(\circ)(sum\text{ of angles in a triangle=180 degr}ees) \\ m\angle4=180-m\angle5=180-55=125^(\circ)(sum\text{ of angles on a straight line)} \end{gathered}`

Hence,

`\begin{gathered} m\angle1=35^(\circ) \\ m\angle2=145^(\circ) \\ m\angle3=55^(\circ) \\ m\angle4=125^(\circ) \\ m\angle5=55^(\circ) \end{gathered}`