In an isosceles right angled triangle, state the measure of equal angles

In the given figure AC = AD and B is the midpoint of CD.Which of the following statement is correct? 

If ∠Y = ∠Z, YZ = 12cm and perimeter of ΔXYZ = 38cm. Then length of XZ is

In the given figure AB = AC = AD, ∠B = 23^o and ∠D = 47^o. Then ∠BCD = 

If AB = AC and ∠A = 50^o. Then measure of ∠ABC is 

One of the base angles of an isosceles triangle is 40^o then  the vertex angle is?

If AB = AC and ∠B = 43^o. Then measure of ∠ACB is 

In an isosceles triangle if the vertex angle is twice the sum of the base angle, then the angles of the triangle are?

In ΔABC, AB = AC and ∠B is more than 30^o but less than 45^o .Then m∠C cannot be

If ∠P = ∠R and PQ is more than 5 cm but less than 6 cm. Length of QR =