<PRE><B>Question 561907</B>
You might have to construct an altitude from the 90 degree angle. This will cut the 5-12-13 triangle into two smaller (similar) triangles.


The best way to find the smaller angle is to use trig. If theta denotes the smallest angle, then


*[tex \LARGE \sin \theta = \frac{5}{13}]


*[tex \LARGE \theta = \sin^{-1}( \frac{5}{13}) \approx 22.6^{\circ}]</PRE>