Try Angles

Geometry Level 3

A B C \triangle {ABC} is a right-angled triangle right angled at B B . F F is a point on A B \overline {AB} such that n × A F = A B n\times \overline {AF}=\overline {AB} . G G is a point on B C \overline {BC} such that ( n 1 ) × B G = B C (n-1)\times \overline {BG}=\overline {BC} . Here n n is a positive integer greater than 1 1 . H H is the foot of perpendicular from B B to A C \overline {AC} . If the measure of B A G \angle {BAG} is 10 ° 10\degree then what is the measure of A H F \angle {AHF} in degrees?


The answer is 10.000.

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