Problem
GEO-B1-M05-P007 Two Angles on a Chord
#7
★★☆☆☆ Level 2 of 5
Points \(A,B,C,D\) lie on one circle, and points \(B\) and \(D\) are on the same side of chord \(AC\). It is known that \(\angle ABC=41^\circ\). Find \(\angle ADC\).
Angles \(\angle ABC\) and \(\angle ADC\) stand on the same chord \(AC\).
Both angles are inscribed and stand on chord \(AC\). With the given position, they are equal. Hence \(\angle ADC=41^\circ\).
The student should say explicitly which chord each angle stands on.