Question

1. in the figure shown, determine which lines, if any, are parallel. 180 - 105 / 75 105° 75 75 105 75 105 75 105 105° 75 a x || y only b b || a only c x || y and b || a d no lines parallel 13. given that a||b, solve for x. 37 37° 33° x°

Explanation:

Step1: Recall parallel - line angle rules

If corresponding angles are equal, or alternate - interior angles are equal, or same - side interior angles are supplementary, then the lines are parallel.
For lines \(x\) and \(y\):
The 105 - degree angles are corresponding angles. Since they are equal, \(x\parallel y\) according to the corresponding - angles postulate.
For lines \(a\) and \(b\):
The 75 - degree angles are corresponding angles. Since they are equal, \(a\parallel b\) according to the corresponding - angles postulate.

Answer:

C. \(x\parallel y\) and \(b\parallel a\)