Answer:
x = 6.
Step-by-step explanation:
The 3rd angle in the small triangle
= 180 - (x + 8) - (2x + 32) ( as angles in a triangle total to 180).
Now this angle is congruent to the angle marked 2x + 38 (corresponding angles , the 2 lines rising to the right being parallel).
So we have the equation:
180 - (x + 80) - (2x + 32) = 2x + 38
180 - x - 80 - 2x - 32 = 2x + 38
- x - 2x - 2x = 38 - 180 + 80 + 32
-5x = -30
x = 6.
