Question

If r is parallel to s find y.

Answer 1

If r and s are parallel, then the nagles (216 - 2x) and (3x + 16) are corresponding angles.

Therefore:

$216-2x=3x+16\ \ \ \ |-216\\\\-2x=3x-200\ \ \ \ |-3x\\\\-5x=-200\ \ \ \ |:(-5)\\\\x=40$

$216-2x=216-2(40)=216-80=136$

The angles (216 - 2x) and (7y - 4) are vertical angles.

Therefore

$7y-4=216-2x\\\\7y-4=136\ \ \ \ |+4\\\\7y=140\ \ \ \ |:7\\\\\boxed{y=20}$