Alright, lets gets started.
We have given , ABCD ≅ MNOP
It means ∠A = ∠M
Means
[tex] x - 10 = 2x - 30 [/tex]
Subtracting x in both sides
[tex] x - 10-x = 2x - 30-x [/tex]
[tex] -10 = x - 30 [/tex]
Now adding 30 in both sides
[tex] -10+ 30 = x - 30 + 30 [/tex]
[tex] 20 = x [/tex]
[tex] x = 20 [/tex]
∠A is given as (x-10)
So, putting the value of x,
∠A = 20 - 10 = 10
∠A = 10 : Answer
Hope it will help :)