In an isosceles triangle if a base angle is twice the vertical, calculate the angles of the triangle

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

In the given figure AB = AC and AD⊥BC. Which criterion can be used to prove congruency of shaded and unshaded triangles. 

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

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

In ΔABC, ∠B = ∠C. Then value of x is 

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

If PQ = QR and ∠P = 37 1/2^o. Then measure of ∠PQR is 

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