Answer:
angle AED = 70 degrees
angle x = 10 degrees
Step-by-step explanation:
since angle ABD = 110 degrees, major arc AED = 2(110) = 220 degrees
since angle ADB = 40 degrees, minor arc AB = 2(40) = 80 degrees
minor arc BD = 360 - 220 - 80 = 60 degrees
arc AB + arc BD = arc ABD
arc ABD = 80 + 60 = 140 degrees
angle AED = 1/2 (140) = 70 degrees
angle EAD = angle AED because isosceles
arc ED = 2(70) = 140 degrees
arc AE = arc AED - arc ED = 80 degrees
angle x = 1/2(arc AE - arc BD) = 1/2(80 -60) = 10 degrees
