Find the value of the lettered angles in each of the following ( see image ). Please show workings.

The only given Angles are 40° , 60° , 10°​

Same arc intercepted, the angles are equal

Cyclic quadrilateral has supplementary opposite angles

And s and r intercept same arc, therefore:

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

are you an artist's daughter? cuz dang you a fine piece of art, girl.