Awesome geometry -7
Geometry
Level
3
Triangle ABC has incentre 'I' and the incircle touches BC , CA at D , E respectively .
If BI meets DE in G , find measure of angle AGB
The answer is 90.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Simple angle chase tells us that I G E A is cyclic. => ∠ A G B = ∠ A E I = 9 0 ∘