Arcs Doubt in a circle.

Dec 2019
6
0
Colombia
Greetings, I'm having a discussion with my teacher, where we got to apply the theorems of the angle inscribed in the circumference.

I don't know whether it's true that the following arc PE is equally to angle A, since we got the inscribed theorem where it should be the double of the angle A. I'm uploading the next picture to illustrate my question better.

1.jpg
 

skipjack

Forum Staff
Dec 2006
21,481
2,470
Of course it's double angle A, as there's a theorem to that effect. Also, you can see that as the arc PE approaches a semicircle, the angle A approaches a right angle.