SOLUTION: AC is a diameter B is a point on the circumference prove that x=90-y fig link http://i1383.photobucket.com/albums/ah310/rizwanmehboob66izvve/unnamed3_zps92c59354.jpg

Algebra ->  Circles -> SOLUTION: AC is a diameter B is a point on the circumference prove that x=90-y fig link http://i1383.photobucket.com/albums/ah310/rizwanmehboob66izvve/unnamed3_zps92c59354.jpg      Log On


   

Question 935736: AC is a diameter B is a point on the circumference
prove that x=90-y
fig link
http://i1383.photobucket.com/albums/ah310/rizwanmehboob66izvve/unnamed3_zps92c59354.jpg
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

recall: Thales' theorem states that if A, B and C are points on a circle where the line AC is a diameter of the circle, then the angle < ABC is a right angle.
then triangle ABC is a right angle triangle
since the sum of all angles in a triangle ABC is 180, then x%2By=90 =>that proves +x=90-y