Question

In the figure BD||EG and the measure of angleCFE=65 . What is the measure of angle ACDA 35. B 65. C 115. D 135

Answer 1

Let me draw the figure here below:

Given that the measure of the angle CFE is 65°, we want to find the measure of the angle ACD.

First, notice that angle CFE and angle EFH are supplementary angles, so their sum is 180°:

$\begin{gathered} m\angle CFE+m\angle EFH=180 \\ 65+m\angle EFH=180 \\ m\angle EFH=180-65 \\ m\angle EFH=115 \end{gathered}$

Now, there's a relation between angle EFH and angle ACD. Both angles are equal.

So, the measure of ACD is 115°.