Question

solve this question also

Answer 1

Given :- AC = BC

BA || CD

|_ DCA = 55


Solution :-

Since , BA || CD

So,

|_ BAC = |_DCA

as they are alternate interior angle!!

|_BAC = 55


In ∆ABC

AC = BC

and as we know that the angle opposite to the equal side are equal

|_ABC = |_BAC

|_ABC = 55

Now

Using ASP in ∆ABC

|_ABC + |_BAC + |_ACB = 180

55 + 55 + |_ACB = 180

110 + |_ACB = 180

|_ACB = 180 - 110

|_ ACB = 70