Question

Solve this please with an explanation of process your finding the values of x and y

Answer 1

Congruent sides, so isosceles triangle.  When we have an isosceles triangle the bisector of angle A is a perpendicular bisector of BC with foot D.   So x=ADB=90 degrees.

Angle B is 47 degrees and angle y=BAD is complementary, the other acute angle in a right triangle.

y = 90 - 47 = 43

Answer: x=90, y=43