Answer:
x = 20
Explanation:
You can solve this problem using similar triangles; you know the triangles are similar due to the AAA property because of the Corresponding Angles Theorem.
To find x, you need to identify what sides 8 and x correspond to:
8 corresponds to 14 (6 + 8)
x corresponds to (x + 15)
Now, you need to find the scale factor by dividing 14 by 8:
14 ÷ 8 = 7/4
At this point, you can write and solve an equation for x:
7/4x = x + 15
3/4x = 15 (subtract x from both sides)
x = 20 (multiply both sides by 3/4)