The vertices $A,B,C,D$, in that order, lie on a circle with centre $O$. Chords $AB$ and $BC$

Question

The vertices $A,B,C,D$, in that order, lie on a circle with centre $O$. Chords $AB$ and $BC$ are equal, and $\angle ADC=110^\circ$. Find $\angle ABC$, giving a reason.[2] Find $\angle BAC$, giving a reason.[2] Find the minor angle $AOC$, giving a reason.[2]

Accepted Answer

(a) $70^\circ$ (b) $55^\circ$ (c) $140^\circ$

Combining circle and triangle properties

Combining circle and triangle properties

Solution:

Solution locked