Was the Angle Discovered? Thread Closed Due to Existing Problem

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AzureSekki
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Homework Statement
How did they get all the angle here in this problem
Except for the angle 65° which is given it's not stated on how they got it so im having a hard time to understand the problem
Relevant Equations
Find angle
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Homework Statement:: How did they get all the angle here in this problem
That's a statement of your problem, not of the homework problem.
Provide a complete problem statement
given:​
knowns:​
unknowns:​

AzureSekki said:
I am having a hard time to understand the problem
This way, so am I !

##C## doesn't exist ?
 
Hi,

So I am slightly confused by some of the lettering, but perhaps I am missing something. If you are told that [itex]\angle BON = 65[/itex], then do you understand the working to find [itex]\angle AOC = 30 degrees[/itex] (I am assuming point C is where point N is)?

If we can accept that, then I think the easiest way to get [itex]\angle BOA[/itex] is just to consider [itex]\angle BON = \angle BOA + \angle AON[/itex]. Solving this yields the same answer of 35 degrees.

I believe they have labeled the 115 degrees by using the fact that line segments BA and ON are parallel and [itex]\angle OBA[/itex] and [itex]\angle BON[/itex] are therefore supplementary ('internal' angles of parallel lines add up to 180 degrees), so they could get 115 from [itex]\angle OBA = 180 - 115[/itex]

Hope that answers your question. If not, let me know and I will respond appropriately.

Kind regards
 
Master1022 said:
Hi,

So I am slightly confused by some of the lettering, but perhaps I am missing something. If you are told that [itex]\angle BON = 65[/itex], then do you understand the working to find [itex]\angle AOC = 30 degrees[/itex] (I am assuming point C is where point N is)?

If we can accept that, then I think the easiest way to get [itex]\angle BOA[/itex] is just to consider [itex]\angle BON = \angle BOA + \angle AON[/itex]. Solving this yields the same answer of 35 degrees.

I believe they have labeled the 115 degrees by using the fact that line segments BA and ON are parallel and [itex]\angle OBA[/itex] and [itex]\angle BON[/itex] are therefore supplementary ('internal' angles of parallel lines add up to 180 degrees), so they could get 115 from [itex]\angle OBA = 180 - 115[/itex]

Hope that answers your question. If not, let me know and I will respond appropriately.

Kind regards
Thanks for the clarification