Final answer:
To find the value of x, set up an equation using the given information and solve for x.
Step-by-step explanation:
To find the value of x, we need to set up an equation using the given information. Angle 1 has a measure of (13x + 9) and Angle 3 has a measure of (15x - 1). According to the question, the two angles are equal, so we can set up the equation:
(13x + 9) = (15x - 1)
Solving this equation will give us the value of x:
13x + 9 = 15x - 1
9 + 1 = 15x - 13x
10 = 2x
x = 5