Chapter 10.4, Problem 18P

Given a right triangle that has angles a, b, and 90°, draw a tine segment from the comer where the right ang|e is to the hypotenuse so that this line segment is perpendicular to the hypotenuse, as shown in Flgure 10.92 . The line segment divides the original right triangle into two smaller right triangles. Without measuring, determine the angles in these smaller right triangles. How are these angles related to the angles in the original large triangle? Give a general answer, one that does not depend on the specific values of a and b. Explain your reasoning.

 
Figure 10.92 Subdivide a right triangle