Question

In the figure below, ray was constructed starting from rays and . By using a compass D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:

are equal.


are NOT equal.


sum to 30°.


sum to 45°.


sum to 60°.

Answer 1

The correct answer is that the angles created are equal.

The steps given are used to create an angle bisector of the angle. That means it divides the angle into 2 congruent angles.