work out the sizes of angles x,y and z

Answer:
x &y=64 z=20
Step-by-step explanation:
ABD is an isosceles triangle therefore x and y will have the same angles.You will do 180(as angles in a triangle add up to 180) and subtract 52 which is 128.After that you then divide by 2 to get the values of x and y=64
To find z,you know that angles in a triangle equal 180 so you want to subtract 2 values from 180 to find z.To find the other value you do 180-y=180-64=116.Therefore 116+44=160, 180-160=20 so z=20