Question

In the diagram below AB' is the image of AB after a reflection in AC. If m

Answer 1

If AB' is the image of AB after a reflection in AC, then:

`\begin{gathered} m\angle BAC+m\angle CAB^(\prime)=m\angle BAB^(\prime) \\ \text{Where:} \\ m\angle BAC=m\angle CAB^(\prime)=4x+7 \\ m\angle BAB^(\prime)=64 \\ 4x+7+4x+7=64 \\ 8x+14=64 \\ 8x=64-14 \\ 8x=50 \\ x=(50)/(8) \\ x=(24)/(4)=6.25 \end{gathered}`