Question

$\text{It is given that}\Delta ABC\cong \Delta FDE\text{in which AB = 5 cm,}\angle B={40}^{\circ },\angle A={80}^{\circ }\text{and FD = 5 cm. Then, which of the following is true?}\left(a\right)\angle D={60}^{\circ }\left(b\right)\angle E={60}^{\circ }\left(c\right)\angle F={60}^{\circ }\left(d\right)\angle D={80}^{\circ }$

Answer 1

ANSWER:
(b)​ ∠E=60°
∆ABC≅∆FDE
AB = 5cm, ∠B=40°,∠A=80° and FD = 5cm
Then ∠A+∠B+∠C=180°⇒80°+40°+∠C=180°⇒∠C=60°Also, ∠C=∠E
∴ ∠E=60°