SOLUTION: Hi, everyone. Can anyone help me with this question, please? Find the measure of each variable if the measure of angle A is 34 and the measure of arc BC is 91. The link to th

Algebra ->  Circles -> SOLUTION: Hi, everyone. Can anyone help me with this question, please? Find the measure of each variable if the measure of angle A is 34 and the measure of arc BC is 91. The link to th      Log On


   

Question 1114922: Hi, everyone. Can anyone help me with this question, please?
Find the measure of each variable if the measure of angle A is 34 and the measure of arc BC is 91.
The link to the image:https://api.agilixbuzz.com/Resz/~6iS9DAAAAAghvTq664DvmA.0zTkW15fX0TSl0tGyYh46A/19791663,8C5/Assets/assessmentimages/geometry_part_2_u4l8_2.jpg
I've figured out that x is equal to 23, but I can't find y. Any help would be greatly appreciated.
Thanks! :)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the following reference should help you.

https://mathbitsnotebook.com/Geometry/Circles/CRAngles.html

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.

$$$