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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

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 class=

Respuesta :

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:

[tex]\begin{gathered} 83-7x=7x+55 \\ \\ 7x+7x=83-55 \\ 14x=28 \\ x=\frac{28}{14} \\ x=2 \end{gathered}[/tex]

Then, to find the m[tex]m

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