ΔABC and ΔDEF are two triangles such that ΔABC ≅ ΔFDE. If AB = 17 cm, ∠B = 52°, and ∠A = 95°, then which of the following options is true?

Question

Accepted Answer

Given that ΔABC ≅ ΔFDE, the corresponding vertices match as A → F, B → D, and C → E. This means:
- Side AB corresponds to side FD
- Angle B corresponds to angle D
- Angle A corresponds to angle F

Given:
- AB = 17 cm
- ∠B = 52°
- ∠A = 95°

Since AB corresponds to FD, FD = 17 cm.

Next, find ∠C in ΔABC:
∠C = 180° - (∠A + ∠B) = 180° - (95° + 52°) = 33°

Since ∠C corresponds to ∠E (C → E), ∠E = 33°.

Therefore, the correct statement is: DF = 17 cm, ∠E = 33°.

Answer

Answer

Answer