1954 AMC 12 Question 19
AMC12 · 1954 AMC 12
If the three points of contact of a circle inscribed in a triangle are joined, the angles of the resulting triangle:
are always equal to $60^\circ$
are always one obtuse angle and two unequal acute angles
are always one obtuse angle and two equal acute angles
are always acute angles
are always unequal to each other