Question

a square ABCD and an equilateral triangle a x b are on the same base ab and on the same side of it what is the size of the angle cbx

Answer 1

Each angle of sq.= 90 ,Each angle of eq.traingle= 60
So,
angle CBX=90-60= 30

Answer 2

We know Abcd is square

.:angle abc=90

triangle ABX is equilateral triangle

.:angle abx =60

now

angle cbx=angle abc+ angle abx

=>90+60

=>150degree

.:angle cbx is 150 degree

hope it helps...