SOLUTION: One of the angles of a triangle is equal to the sum of the other two angles.if the ratio of the other two angles is 4 : 5,find the angles of the triangles.

STEP 1.  It is clear from the condition, that the largest angle is 90 degrees, and the sum of two other angles is 90 degrees, too.


STEP 2.  Since the sum of the two acute angles is 90 degrees and the ratio of their measures is 4:5, these angles are 40 and 50 degrees,


ANSWER.  The angles are 90, 40 and 50 degrees.