Question

angles B and P are vertically opposite angles. angle B measures (2×+5) and angle P measures 105 . what is the value of x?

Answer 1

If two angles are vertically opposite, then it means that they are equal. Given that angles B and P are vertically opposite angles, it means that

angle B = angle P

If angle B measures (2x + 5) and angle P measures 105, then

2x + 5 = 105

2x = 105 - 5 = 100

x = 100/2

x = 50