Question

PLEASE HELP!!!!
What is the value of v?

Answer 1

`v = {15}^(o) \\`

Explanation:

`9v = {31}^(o) + (4v + {44}^(o)) \\`

An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

`9v = {31}^(o) + (4v + {44}^(o) ) \\ 9v = {31}^(o) + 4v + {44}^(o) \\ 9v = {75}^(o) + 4v \\ 9v - 4v = {75}^(o) \\ 5v = {75}^(o) \\ v = \frac{ {75}^(o) }{5} \\ v = {15}^(o) \\`