Question

Help me with my homework

Answer 1

`m\angle 6 = 107\degree`

`m\angle 7 = 73\degree`

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`