Given:
In circle P, m∠ADB is 25°.
To find:
The m∠APB.
Solution:
Central angle theorem: According to this theorem, the central angle of an arc is twice of inscribed angle of the same arc.
From the given figure it is clear that the ∠APB is the central angle and ∠ADB is the inscribed angle on the arc AB.
By using the central angle theorem, we get
[tex]m\angle APB=2\times m\angle ADB[/tex]
[tex]m\angle APB=2\times (25^\circ)[/tex]
[tex]m\angle APB=50^\circ[/tex]
Therefore, the correct option is D.
