Question

Examine the figure below.If AABC is similar to ADEF, determine the measure of

Answer 1

We have two similar triangles.

They will have proportional sides and equal measures.

Then, if we have to evaluate Then, we can write:

`\begin{gathered} m\angle A=m\angle D \\ 3x+18=4x+2 \\ 3x-4x=2-18 \\ -x=-16 \\ x=16 \end{gathered}`

Knowing x, we can calculate m
`\begin{gathered} m\angle A=3x+18 \\ m\angle A=3\cdot16+18=48+18=66\degree \end{gathered}`Answer: the measure of A is 66º