Question

I need help with this question. I got it wrong so now I have to go over it and fix it.

Answer 1

We know that:

The following property holds:

`x=(a+b)/(2)`

Now, from the figure of the problem, using the previous property we say that:

`\angle\text{AEC }=(AC+BD)/(2)`

But:

`\begin{gathered} AC=110 \\ BD=40 \end{gathered}`

Finally:

`\begin{gathered} \angle\text{AEC }=(110+40)/(2)=(150)/(2) \\ \therefore\angle\text{AEC }=75\degree \end{gathered}`