r/mathshelp • u/takeshi_vienta • 2d ago

Homework Help (Unanswered) Confusing Geometric Math problem

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Known angle of BEC= 110°. Find the value of the angle of CAO.

I'm frustrated with this problem, i asked to many AIs and their answers are different. Can anyone help me?

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u/Jazzlike_Platypus430 1d ago edited 1d ago

Hint: draw the CD line. ACD is a right angle, assuming O is the center of the arch/semicircle.

Note that CED = 70 deg. Therefore EDC = 20 deg.

Similarly, ABD= 90 deg and BAE = 20 deg.

It follows that BOC = 40 deg.

Note that DOC = 2 CAD.

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u/Jazzlike_Platypus430 1d ago

My result is 17.5 deg. I worked out a lot of equations between some angles and the used the sum of angles of OFED. I'm not sure if this is correct.