Proof That Angles Subtended in a Circle From the Same Chord (Angles in the Same Segment) Are Equal

It's only fair to share...Share on FacebookTweet about this on TwitterPin on PinterestShare on Google+Share on RedditEmail this to someone

The indicated anglesin the diagram below are equal.

By drawing in the chord AB (below) the anglescan be seen to be in the same segment of the circle and subtended from the same chord.

The equality of the angles is then a consequence of the fact that(1)

This last is another circle theorem, proved here.

Comments are closed.