Question

Two lines intersect at point P. If the measures of a pair of vertical angles are (3x - 9) and (x + 15)°, determine the value of x.

Answer 1

Vertical angles are opposite angles formed by the intersection of two lines. They are always equal in measure.

In this case, the vertical angles measure (3x - 9) and (x + 15)°. Since they are equal, we can set them equal to each other and solve for x:

3x - 9 = x + 15

2x = 24

x = 12

Therefore, the value of x is 12.