Question
if FD bisects EFG and DFG is 62 degrees. What is the measure of EFG? (the whole angle)
Answers
GPT-4o mini
If line FD bisects angle EFG, it means that angle EFD and angle DFG are equal. Given that the measure of angle DFG is 62 degrees, we can conclude that:
\[
\text{Angle EFD} = \text{Angle DFG} = 62^\circ
\]
To find the measure of the whole angle EFG, we add the measures of angles EFD and DFG:
\[
\text{Angle EFG} = \text{Angle EFD} + \text{Angle DFG} = 62^\circ + 62^\circ = 124^\circ
\]
Therefore, the measure of angle EFG is \( \boxed{124} \) degrees.
\[
\text{Angle EFD} = \text{Angle DFG} = 62^\circ
\]
To find the measure of the whole angle EFG, we add the measures of angles EFD and DFG:
\[
\text{Angle EFG} = \text{Angle EFD} + \text{Angle DFG} = 62^\circ + 62^\circ = 124^\circ
\]
Therefore, the measure of angle EFG is \( \boxed{124} \) degrees.