In a triangle ABC, Angle A=84, B=78. Points D & E are taken on the sides AB and CB so that angle ACD=48 and CAE=63...

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In a triangle ABC, Angle A=84, B=78. Points D and E are taken on the sides AB and CB so that angle ACD=48 and CAE=63.
What is the measure (in degrees) of angle CDE?

Triangle ABC has a right angle at B. Let Q be along BC and P be along AB such that AQ bisects angle A and CP bisects angle C. If AQ = 9 and CP = 8√2, what is the length of the hypotenuse AC?

Triangle ABC has AB = BC = 10 and AC = 10√2. The triangle is folded so that point A falls on the midpoint M of BC. The crease endpoints P, Q are along sides AB and AC, respectively.
What is the length of the crease PQ?