help with math homework

Question

If line NP bisects angle MNQ, measurement angle MNQ= 8x+12, measurement angle PNQ=78 degrees and measurement angle RNM= 3y - 9 find the values of x and y

Answer 1

angle MNQ is bisected by line (PN) implies that angle MNP=PNQ=78

So angle MNQ=MNP+PNQ= 78+78=156

So 8x+12=156

8x=156-12=144

x=144/8= 18

Answer 2

For the value of x,

8x + 12 = 2(78), that's what bisect means.

As to the value of y,

you did not provide location or measure of RNM.