Question

Lines AB and MN intersect at P.

N
A
(3x + 24)
(9x - 54)
P
B
M
What is the value of x?

Answer 1

x = 13

Explanation:

To solve for x, we set equations (9x - 54) and (3x + 24) equal to each other because the angles are equal

(9x - 54) = (3x + 24); add 54 to both sides

9x = 3x + 78; subtract 3x from both sides

6x = 78; now divide by 6

x = 13