Answer :

The measure of <FEG= 61 and <HEG = 119.

What is Vertical Opposite Angle?

The opposing angles created by the intersection of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another are always equal.

when two lines in a plane intersect, one of the angles that are directly across from one another.

Given:

m< DEF= 119

Now, <DEF + <FEG= 180 (Linear Pair)

119+ <FEG = 180

<FEG = 180- 119

<FEG = 61

and, <DEF= <HEG = 119  (Vertical opposite angle)

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