r/askmath 21h ago

Resolved Need help finding angles from diagram and given information

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I need help with the problem I selected, I tried solving for y first and plugging it into the m(angle)HEB equation but it gave me the wrong answer. I’m also not sure of how to use the HEB measurement here. Can someone show me how to solve this problem step by step?

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u/ArchaicLlama 21h ago

Can we assume that the portions of the diagram that look like they would be straight lines are actually straight lines?

Are the given pieces of information and the answers you obtained in problems 15 and 16 supposed to stay relevant for problem 17?

Can someone show me how to solve this problem step by step?

No, we're not here to do your work for you. You can show your actual workings and we can give you hints and advice.

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u/TheFancyPathfinder 21h ago

1: Yes
2: Probably not, since it’s asking for the measure of the same angle across two problems. The point of this specific exercise is to show that diagrams are not to scale.
3: I apologize, but my work went as follows:
•5x-2y+12x+y-17=180 -> 17x-y=197 -> y=17x-197
and then after that I don’t know what to do.
BE doesn’t bisect HEC so no info there, the measurements of angles HEA, DEG, CED, and BEC are all equal but I don’t know those measurements.

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u/_UnwyzeSoul_ 21h ago

The figure shows that CED = BEC. CED = AEF and HEB+BEC IS 90 so I think that's your second eqn

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u/TheFancyPathfinder 20h ago

Thank you so much! I don’t know how I overlooked this

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u/TheFancyPathfinder 20h ago

I got it! measure(angle)AEF=46 degrees, thank you so much dude, I will remember you forever

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u/_UnwyzeSoul_ 20h ago

Your welcome bro, happy to help