Determine the value of x for which v || w if m2 = 100 and m7=4x+10 . 25 22.5 17.5 20

Answer 1

To determine the value of x for which v || w, we need to use the concept of corresponding angles.

If v || w, then the corresponding angles are equal.

Angle m2 corresponds to angle m7, so we can set up the equation:

m2 = m7

100 = 4x + 10

Subtract 10 from both sides:

90 = 4x

Divide both sides by 4:

22.5 = x

Therefore, the value of x is 22.5.