9514 1404 393
Answer:
x = 22.5°
Explanation:
The sum of the interior angles of the triangle is 180°. Interior angle A is congruent to the alternate interior (with respect to the parallel lines) angle marked 2x at E. The interior angles at B and E are the supplements of the exterior angles at those points.
2x +(180 -4x) +(180-6x) = 180
360 -8x = 180
180 = 8x
22.5 = x
Answer: x = 22.5°