Question

Help me with my homework

Answer 1

Answer:

$m\angle 6 = 107\degree$

$m\angle 7 = 73\degree$

Step-by-step explanation:

$m\angle 6 = m\angle 4$

(Exterior alternate angles)

$\because m\angle 4 = 107\degree... (given)$

$\huge \therefore m\angle 6 = 107\degree$

$\because m\angle 6+ m\angle 7= 180\degree$

(linear pair angles)

$\therefore 107\degree+ m\angle 7= 180\degree$

$\therefore m\angle 7= 180\degree-107\degree$

$\huge \therefore m\angle 7 = 73\degree$