Question

Given line m to n, find the value of x.
Obviously this image isn't drawn accurately. The 40° angle is obviously more than 40°. Just go with it.
Answer: x=____​

Answer 1

Step-by-step explanation:

$\angle \: 4 = 40 \degree \\ ..(corresponding \: angles) \\ 3x + 1 = \angle \: 4 ..(vertical \: angles) \\ \\ \therefore \: 3x + 1 =40 \degree \\ \therefore \: 3x =(40 - 1)\degree \\ \therefore \: 3x =39\degree \\ \therefore \: x = \frac{39\degree}{3} \\ \huge \red{ \boxed{\therefore \: x = 13\degree }}$