In a figure, a pair of parallel lines is cut by a transversal. What is the measure of angle B if the measure of angle C is 35?

1) If angle 1 and 2are corresponding angles

Then they are equal

5x-10=3x+60

5x-3x=60+10

2x=70

x=70/2

x=35

Therefore

One angle=5x-10=5*35-10=175-10=165

Then angle 2 is also 165 degrees

2) if these two angles are linear pair or interior angles of same side of the the transversal

Sum of it is supplementary

Therefore

<1+<2=180

5x-10+3x+60=180

8x+50=18£

8x=180-50

8x=130

x=130/8