Answer
1) [tex]b=101\degree[/tex]
2) [tex]m=50\degree[/tex]
3) [tex]h=79\degree[/tex]
4) [tex]g=101\degree[/tex]
5) [tex]i=51\degree[/tex]
6) [tex]j=130\degree[/tex]
Explanation
From the diagram,
[tex]b=101\degree[/tex], corresponding angles are equal.
From the diagram, m=k, corresponding angles are equal.
But k+130=180, angles on a straight line sum up to 180 degrees.
This implies that k=180-130=50
[tex]\therefore m=50\degree[/tex]
From the diagram ; [tex]h+101=180\degree[/tex],angles on a straight line sum up to 180 degrees.
[tex]\implies h=180-101\degree[/tex]
[tex]\implies h=79\degree[/tex]
From the diagram, [tex]g=101\degree[/tex] vertically opposite angles are equal.
From the triangular portion;
i+h+m=180. sum of interior angles of a triangle.
This implies that:
i+79+50=180
i+129=180
i=180-129
[tex]i=51\degree[/tex]
Finally
[tex]j=130\degree[/tex], vertically opposite angles are equal.
