Question

If m∠4=6y and m∠5=13y-10, find m<6. WILL GIVE YOU Brainliest

Answer 1

Answer:

$m\angle 1 = 115\degree \\\\m\angle 2= 130\degree \\\\m\angle 6= 60\degree$

Step-by-step explanation:

$m\angle 1 = m \angle 5\\(corresponding \: \angle s) \\\\\because m\angle 5 = 115\degree \\\therefore m\angle 1 = 115\degree \\\\m\angle 2 = m \angle 7\\(exterior \: alternate \: \angle s) \\\\\because m\angle 7 = 130\degree \\\therefore m\angle 2= 130\degree \\\\m\angle 4 + m\angle 5= 180\degree\\\\6y\degree + (13y - 10)\degree = 180\degree\\\\ (19y - 10)\degree = 180\degree\\\\ 19y - 10 = 180\\\\19y = 180+ 10\\\\19y = 190\\\\y = \frac{190}{19}\\\\y = 10\\\\m \angle 4 = 6y\degree \\\\m \angle 4 = 6\times 10\degree \\\\m \angle 4 = 60\degree \\\\\because m\angle 6 = m \angle 4\\( alternate \: \angle s) \\\\\therefore m\angle 6= 60\degree$