Answer:
D) Triangle 7 has a 50° angle and a 25° angle. Triangle 8 has a 50° angle and a 105° angle
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
Verify each case
case A) Triangles 1 and 2 each have a 35° angle.
There's not enough information
case B) Triangles 3 and 4 are both isosceles. They each have a 40° angle.
There's not enough information (It is necessary to know if the given angle corresponds to the base angle or to the vertex angle in each triangle)
case C) Triangle 5 has a 30° angle and a 90° angle. Triangle 6 has a 30° angle and a 70° angle
The triangles are not similar, because the angles are not congruent
case D) Triangle 7 has a 50° angle and a 25° angle. Triangle 8 has a 50° angle and a 105° angle.
The triangles are congruent
Because
The measure of the angles in triangle 7 are 50°-25°-105° (remember that the sum of the interior angles in any triangle must be equal to 180 degrees)
The measure of the angles in triangle 8 are 50°-105°-25° (remember that the sum of the interior angles in any triangle must be equal to 180 degrees)
therefore
Both triangles have the same angles
That means
Triangles are similar
