Question

Each row of the table has two of the interior angle measures of two triangles.

Answer 1

1st not similar
2nd similar
3rd not similar

Answer 2

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.