This question was uploaded on 06/01/22 on social media accounts.
Solution:
2α = 20 or α = 10
Now, x = 20+α = 30
Step 1:
Give all possible angles at A, D, E, and also angle ACD.
Step 2:
Draw CF such that triangles DCE = DCF then join EF to form an equilateral triangle.
Step 3:
Now give all possible angles at C, E, and F. By the same angles in triangle BCF, it will be an isosceles triangle.
Step 4:
By the exterior angle theorem, 2α = 20 or α = 10.
Now, x = 20+α = 30
