Question

I need help quickthe question is in the photo below

Answer 1

First we notice that angles 1 and (20x+5) are supplementary, and we also notice that angle 1 and (24x-1) are alternate exterior angles. If lines a and b are parallel then the exterior angles mentioned before should be equal. If this happens we have that:

`\begin{gathered} 24x-1+20x+5=180 \\ 44x+4=180 \\ 44x=180-4 \\ 44x=176 \\ x=(176)/(44) \\ x=4 \end{gathered}`

Once we know the value of x, then we can plug it in the expression for angle 1:

`24(4)-1=95`

Therefore the value of 1 that proves that the lines are parrallel is 95°.