Theorem 1.6 Angle at Centre Twice Angle at Circumference

Instruction
Drag the point B to observe the relationship between [math]\angle AOB[/math] and [math]\angle APB[/math].
Answer the following questions : (You can drag the points in the figure to help you)
If reflex [math]\angle[/math]AOB is [math]300^{\circ}[/math], [math]\angle APB[/math] = ____[math]^{^\circ}[/math].
If [math]\angle[/math]AOB is [math]180^{\circ}[/math], [math]\angle APB[/math] = ____[math]^{^\circ}[/math].
The last question gives a proof of Theorem 1.7 Angle in semi-circle
Please note that the converse of Theorem 1.7 is also true.
Close
– Miss Dixon, GreenMaths, Hlho, kmso

Information: Theorem 1.6 Angle at Centre Twice Angle at Circumference