Thread: Geometry Angles

Hello All, thank you for your time.

B is in the interior of Angle AOC. C is in the interior of Angle BOD. D is in the interior of Angle COE.

Angle AOE= 175 degrees

Angle COE= 110 degrees

Angle AOB= Angle COD= Angle DOE

There are a two angles I cannot figure out.

Find angle BOC-----Just checking my work on this one, wouldn't it be 20 degrees so as to create 360 degrees all the way around?

Find angle DOA-----I thought that this one would be 230 degrees, but my book says it's 120 degrees? This is what confused me.

So as to make it easier for you to help me, i believe my sketch is correct in the following:

Angle AOE is 175 degrees
Angle EOD is 55 degrees
Angle DOC is 55 degrees
Angle BOC is 20 degrees
Angle AOB is 55 degrees

Angle AOE is what is confusing me. I am pretty suree that it would be 175 degrees, then take that plus 55 degrees (for angle DOE) and you get 230 degrees, not 120.

Thank you all for your help and time.

Sincerely aggravated at the moment,
Rocker 1414

Maybe it would be easier for us to help you if we can figure the figure or diagram. Is it about a quadrilateral?? Pentagon? Circle?
Can you show the figure?

no it is simply a bunch of angles. 5 rays to be exact. I do not even know if my diagram is right, so I cannot really show you. It's much easier just to make a sketch and follow the rules in order, that part seems easy enough, sorry I should have been more clear in my initial post. It is not an enclosed figure, just somewhat like a large * with 5 rays coming out of a single vertex, O.

With that "5 rays coming out of a single vertex O" I can see the figure.

Next question is:
It is given that angle AOE = 175 degrees, then how come you are not sure if angle AOE is 175 degrees?
Is angle AOE given or not?