Question 1114922
the following reference should help you.


<a href = "https://mathbitsnotebook.com/Geometry/Circles/CRAngles.html" target = "_blank">https://mathbitsnotebook.com/Geometry/Circles/CRAngles.html</a>


you are correct at 23 degrees for x, as far as i can tell.


the number of degrees in the circumference of a circle is 360.


91 + 23 = 114.


360 - 114 = 246.


angle y is an inscribed angle to 246 degrees.


that makes it 123 degrees.


i copied your diagram and added ppoint D to it.


arc BC = 91
arc BD = 23
arc CBD = 91 + 23 = 114
arc CD = 360 - 114 = 246


angle y is an inscribed angle to arc CD.


that's what i get.
it seems good.
check it out and see if you agree.


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