Hi!
The given angles are vertical angles.
What are vertical angles?
Vertical angles are two angles across from each other when two or more lines intersect.
How does that help us?
Vertical angles are always equal.
(That doesn't help us in this particular question, but if you were asked to solve for x, it would definitely help.)
How do we know that angles AGB and EGD are vertical angles?
Do you see the lines BE and AD? See how they intersect, forming the two angles we are looking at? They are also across from each other, which makes them vertical angles.
Are there any other vertical angle examples present in this image?
Yes! Notice all the intersecting lines? That means there will definitely be more vertical angles.
The ones are:
angles AGF and CGD
angles BGC and FGE
(These aren't relevant for the given question, but they may help to see some other vertical angles so you know what they are. )
For another question related to vertical angles, see:
https://brainly.com/question/10668231
