 Hi and welcome to our session. Let us discuss the following question. The question says ABCD is a cyclic correlator whose diagonals intersect at a point E. If angle DBC is equal to 70 degree, angle BAC is equal to 30 degree, fine angle BCD. Further, if AB is equal to BC, fine angle ECT. Let's first make a diagram to understand this question. We have drawn a cyclic correlator ABCD whose diagonals intersect at point E. Angle DBC is equal to 70 degree, angle BAC is equal to 30 degree. We have to find angle BCD. Further, if AB is equal to BC, then fine angle ECT. Let's now begin with the solution. In the question we are given that angle DBC is equal to 70 degree, angle BAC is equal to 30 degree and correlator ABCD is cyclic. Now, let's first find angle BCD. Now, angle BAC and angle BDC are equal. Look at the figure, angle BAC and angle BDC are equal because these are angles in the same segment. And we know that angles in the same segment are equal. So, angle BDC is also equal to 30 degree. Consider triangle BCD. We have found out that angle BDC is also equal to 30 degree. And now we are considering triangle DCD. Now in triangle BCD, angle BDC plus angle DBC BCD is equal to 180 degree because sum of all angles of a triangle is supplementary. Now, substitute the value of angle BDC and angle DBC in this equation. Angle BDC is equal to 30 degree and we are given that angle DBC is equal to 70 degree plus angle BCD is equal to 180 degree. Now, this implies angle BCD is equal to 80 degree. So, angle BCD is equal to 80 degree. Now, we will find angle ECD AB is equal to BC. Now, as AB is equal to AC, therefore angle BCA is equal to angle BAC because equal sides has equal opposite angles. In the question, we are given that angle BAC is equal to 30 degree. So, this implies angle BCA is also equal to 30 degree. Now, angle ECD is equal to angle BCD minus angle BCE. We know that angle BCD is equal to 80 degree and angle BCE is equal to 30 degree because angle BCE is same as angle BCA. Angle ECD is equal to 50 degree. So, angle BCD is equal to 80 degree and angle ECD is equal to 50 degree. This is our required answer. So, this completes the session. Bye and take care.