Answer:
Step-by-step explanation:
Triangles are similar when they have angles with the same measure. Since the sum of angles is 180°, the three angles will have the same measure if any two have the same measure.
<u>Triangles A and B</u>
The given two angles have the same measure, so all three angles have the same measure. Triangles A and B are similar.
<u>Triangles C and D</u>
The third angle of Triangle C has measure ...
180° -90° -37° = 53°
Hence two of the angles of Triangle C match the given angles of Triangle D, so all three angles have the same measure. Triangles C and D are similar.
<u>Triangles E and F</u>
Neither of the angles of Triangle E match either of the given angles of Triangle F, so the triangles cannot be similar.
<u>Triangles G and H</u>
The sum of the remaining angles of Triangle G must be less than 59°, so neither angle can be 70°. The triangles cannot be similar.
