Problem
GEO-B1-M05-P008 Tangent and Chord
#8
★★☆☆☆ Level 2 of 5
A tangent is drawn at point \(A\) to the circumcircle of triangle \(ABC\). The angle between the tangent and chord \(AC\) is \(37^\circ\). Find \(\angle ABC\).
The angle between a tangent and a chord equals the inscribed angle standing on that chord.
The angle between the tangent at \(A\) and chord \(AC\) equals the inscribed angle standing on chord \(AC\). That angle is \(\angle ABC\). Therefore \(\angle ABC=37^\circ\).
The first numerical use of the tangent-chord theorem.