Question

In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If m EDB = 83 - 7x, and mZCAD = 7x + 55, what is the measure of ZCAD? B D E А С

Answer 1

By the information given, we can draw the diagram below:

So, we can say that this angles are equal in measure because D and E are midpoints:

$\begin{gathered} 83-7x=7x+55 \\ \\ 7x+7x=83-55 \\ 14x=28 \\ x=\frac{28}{14} \\ x=2 \end{gathered}$

Then, to find the m[tex]m