Answer:
[tex] m\angle 1 = 115\degree \\\\
m\angle 2= 130\degree \\\\
m\angle 6= 60\degree \\\\[/tex]
Step-by-step explanation:
[tex] m\angle 1 = m \angle 5\\(corresponding \: \angle s) \\\\
\because m\angle 5 = 115\degree \\
\therefore m\angle 1 = 115\degree \\\\
m\angle 2 = m \angle 7\\(exterior \: alternate \: \angle s) \\\\
\because m\angle 7 = 130\degree \\
\therefore m\angle 2= 130\degree \\\\
m\angle 4 + m\angle 5= 180\degree\\\\
6y\degree + (13y - 10)\degree = 180\degree\\\\
(19y - 10)\degree = 180\degree\\\\
19y - 10 = 180\\\\
19y = 180+ 10\\\\
19y = 190\\\\
y = \frac{190}{19}\\\\
y = 10\\\\
m \angle 4 = 6y\degree \\\\
m \angle 4 = 6\times 10\degree \\\\
m \angle 4 = 60\degree \\\\
\because m\angle 6 = m \angle 4\\( alternate \: \angle s) \\\\
\therefore m\angle 6= 60\degree \\\\[/tex]
