Question

Use the figure below to name an angle vertical to /DGE

(a). /DGI
(b). /JGI
(c). /EGJ
(d). /EGH

Answer 1

Answer: The answer is (b) ∠JGI.

Step-by-step explanation: We are given a figure with three concurrent rays, DJ, FH and IE intersecting at the point G.

We are to name an angle that is vertical to ∠DGE.

We know that vertical angles are those angles which are opposite to each other when two lines intersect.

Here, ∠DGE is formed when DJ and IE intersect at G. so, its opposite angle will be ∠JGI.

Therefore, the vertical angle of ∠DGE is ∠JGI.

Thus, (b) is the correct option.

Answer 2

The required angle is angle JGI.