Question

Look at this diagram. if BD and EG are parallel lines and m

Answer 1

Given:

The line BD and EG are parallel lines.

`\angle\text{EFH}=67^(\circ)`

To find: The measure of an angle,

`\angle\text{GFC}`

Step-by-step explanation:

We know that,

Vertical angles are angles opposite each other where two lines cross.

The vertically opposite angles are always equal in measure.

Hence, the angle of GFC must be equal to the angle of EFH.

Therefore,

`\begin{gathered} \angle GFC=\angle EFH \\ \angle GFC=67^(\circ) \end{gathered}`

Final answer: The measure of angle,

`\angle GFC=67^(\circ)`