Question

Hello I I am confused because their are two different letters.

Answer 1

Let's begin by listing out the information given to us:

Line AB is parallel to Line CD; this implies that the angle formed by the two lines are right angles (90 degrees)

E is the intersecting point of both lines AB & CD (figure attached)

Let us put this into its mathematical form:

`\begin{gathered} m\angle AED=(6x-24)=90^(\circ) \\ 6x-24=90\Rightarrow6x=90+24 \\ 6x=114\Rightarrow x=19 \\ x=19 \\ m\angle CEB=(4y+32)=90^(\circ) \\ 4y+32=90\Rightarrow4y=90-32 \\ 4y=58\Rightarrow y=17 \\ y=17 \end{gathered}`