Question

In ABCD ≅ MNOP, m∠A = x - 10 and m∠M = 2x - 30. What is m∠A?

Answer 1

Alright, lets gets started.

We have given , ABCD ≅ MNOP

It means ∠A = ∠M

Means

`x - 10 = 2x - 30`

Subtracting x in both sides

`x - 10-x = 2x - 30-x`

`-10 = x - 30`

Now adding 30 in both sides

`-10+ 30 = x - 30 + 30`

`20 = x`

`x = 20`

∠A is given as (x-10)

So, putting the value of x,

∠A = 20 - 10 = 10

∠A = 10 : Answer

Hope it will help :)