Mathematics

Problem

## Explorations ## 53. Writing to Learn (a) Show that there are infinitely many triangles with AAA given if the sum of the three positive angles is

180^{\circ}

. (b) Give three examples of triangles where

A=30^{\circ}, B=60^{\circ}

, and

C=90^{\circ}

. (c) Give three examples where

A=B=C=60^{\circ}