Question

The measures of two angles of each triangle are given. Match each triangle to a similar triangle.

Tiles
Triangle 1: 43°, 100°
Triangle A: 43°, 27°
Triangle 2: 62°, 73°
Triangle B: 62°, 45°
Triangle 3: 37°, 73°
Triangle C: 37°, 43°
Triangle 4: 110°, 43°
Triangle D: 70°, 37°
Triangle 5: 28°, 43°

Answer 1

If two of three angles match, all angles match and the triangles are similar.

The third angle of triangle 1 is 180° - 100° - 43° = 37°. Triangle C has angles that match these.

The third angle of triangle 2 is 180° - 73° - 62° = 45°. Triangle B has angles that match these.

The third angle of triangle 3 is 180° - 73° - 37° = 70°. Triangle D has angles that match these.

The third angle of triangle 4 is 180° - 110° - 43° = 27°. Triangle A has angles that match these.

The third angle of triangle 5 is 180° - 43° - 28° = 109°. None of the given triangles match this.