SOLUTION: Hi I need some help solving this problem. I believe this is a cyclic quadrilateral. I know angles a + c = 180. and angles d + b =180. I also know the 2 chords are equal. The pro

Algebra ->  Circles -> SOLUTION: Hi I need some help solving this problem. I believe this is a cyclic quadrilateral. I know angles a + c = 180. and angles d + b =180. I also know the 2 chords are equal. The pro      Log On


   



Question 1160345: Hi I need some help solving this problem. I believe this is a cyclic quadrilateral. I know angles a + c = 180. and angles d + b =180. I also know the 2 chords are equal.
The problem is asking to find the measure of arc BC and angle ADB. Please help.
I don't know how to upload an image to this site. So I found the image of the problem on google and here is the link. The problem will pop up in the upper right hand of the screen.
https://www.google.com/search?q=For+questions+31+and+32,+use+the+following++diagram.&client=firefox-b-1-d&bih=910&biw=1920&hl=en-US&tbm=isch&source=iu&ictx=1&fir=20chkGbmYyf-FM%253A%252CkAqtJIjjTCz44M%252C_&vet=1&usg=AI4_-kRir4uAqALdYlkCFFZ59DOFbNTz-Q&sa=X&ved=2ahUKEwikxKGWyeHpAhVP4qwKHQ9xDzYQ9QEwCHoECAMQFQ#imgrc=20chkGbmYyf-FM

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Arc BC is cut off by inscribed angle BDC, which has a measure of 35 degrees. The measure of the arc is twice the measure of the inscribed angle.

Angle ADB cuts off arc AB, which is the same arc cut off by angle ACB. So the measure of angle ADB is the same as the measure of angle ACB.