A triangle similar to DEF would possess angles measuring 45 degrees, 70 degrees, and 65 degrees, reflecting the angle relationships established through the theorems.
The angles of a triangle can be determined using various angle relationships. In this case, the given angles a, b, and c are found by applying the Linear Pair of Angles and Triangle Sum Theorem.
For angle a, the Linear Pair of Angles is used: a + 110° = 180°, leading to a = 70°.
Similarly, for angle b, b + 135° = 180°, yielding b = 45°.
Applying the Triangle Sum Theorem to find angle c, 45° + 70° + c = 180°, resulting in c = 65°.
Therefore, a triangle similar to DEF would possess angles measuring 45 degrees, 70 degrees, and 65 degrees, reflecting the angle relationships established through the theorems.