Answer:
Similar; similar; not similar
Step-by-step explanation:
For the first pair of triangles:
The known angles in Triangle 1 are 15° and 45°. Since the sum of the measures of the angles of a triangle is 180°, this makes the missing angle
180-(15+45) = 180-60 = 120°
The known angles in Triangle 2 are 45° and 120°. This makes the missing angle
180-(45+120) = 180-165 = 15°
Since all 3 angles are congruent in both triangles, the triangles are similar.
For the second pair of triangles:
The known angles in Triangle 1 are 90° and 45°. This makes the missing angle
180-(90+45) = 180-135 = 45°
The known angles in Triangle 2 are 45° and 45°. This makes the missing angle
180-(45+45) = 180-90 = 90°
Since all 3 angles are congruent in both triangles, the triangles are similar.
For the third pair of triangles:
The known angles in Triangle 1 are 130° and 35°. This makes the missing angle
180-(130+35) = 180-165 = 15°
The known angles in Triangle 2 are 25° and 130°. This makes the missing angle
180-(25+130) = 180-155 = 25°
Since all 3 angles are not congruent in both triangles, the triangles are not similar.
