The triangles in the image are similar.

a) Calculate the magnitude of the angle [[$ α $]].



Answer: [[$ α ≈ $]] °

b) Calculate the magnitude of the angle [[$ \beta $]].



Answer: [[$ α ≈ $]] °

c) Calculate the length of the side [[$ a $]].



Answer: [[$ a ≈ $]] cm

d) Calculate the length of the side [[$ b $]].



Answer: [[$ b ≈ $]] cm