Answer:
One, Four and Five
Step-by-step explanation:
The sum of the internal angles of a triangle is 180°
In each pair of triangles, you need to prove that all angles sum 180° so, you sum two angles of triangle one and the different from triangle 2.
Case #1
Triangle 1: 55°, 45°
Triangle 2: 55°, 80°
If you sum 55°+45°+80°=180° both triangles are similar.
Case #2
Triangle 1: 103°, 32°
Triangle 2: 103°, 25°
If you sum 103°+32°+ 25°=160° not similar.
Case #3
Triangle 1: 73°, 47°
Triangle 2: 47°, 30°
If you sum 73°+47°+30°=150° not similar.
Case #4
Triangle 1: 105°, 23°
Triangle 2: 52°, 105°
If you sum 105°+23°+52°=180° both triangles are similar.
Case #5
Triangle 1: 99°, 41°
Triangle 2: 40°, 99°
If you sum 99°+40°+41°=180° both triangles are similar.
