Question

Help how do I solve it

Answer 1

When two lines intersect, opposite angles are equal. This means that angle 1 equals angle 4. We can use that information to find their values.
Angle 1 = Angle 4
6n+1 = 4n+19
2n=18
n=9

6(9)+1=54+1=55

Angle 1 and 4 equal 55 degrees.

Two angles that form a straight line together have a total sum of 180 degrees. Angles 1 and 5 are like this, as well as Angles 4 and 5, and Angles 4, 3, and 2 added together.

Therefore, 180 = (angle 4) + (angle 3) + (angle 2)
180= 55+(angle 3) + (angle 2)
125= angle 3 + angle 2

I'm not sure what else can be extrapolated from this. There doesn't seem to be a way to find out what the measure of angle 2 is without angle 3 as well. I hope this helps and you can figure it out from the answer choices!