Question

Can I please get help with this math problem. Anyone please help

Answer 1

Step 1

When two parallel lines are cut by a transversal, corresponding angles and vertically opposite angles are formed.

Given:

`\begin{gathered} m\angle3=59^o \\ \end{gathered}`

Required: To find

`m\angle6\text{ and m}\angle8`

Step 2

Find the value of the required

`\begin{gathered} m\angle3=m\angle1=59^o(vertically\text{ opposite angles are equal)} \\ m\angle2=180\text{ - m}\angle3(Sum\text{ of angles on straight line is 180)} \\ m\angle2=180-59=121^o \end{gathered}`
`\begin{gathered} m\angle2=m\angle6(corresponding\text{ angles are equal}) \\ m\angle6=121^o \end{gathered}`
`\begin{gathered} m\angle6=m\angle8(vertically\text{ opposite are equal)} \\ m\angle8=121^o \end{gathered}`

Hence,