Question

Р
1.
to
30
80
170
R.
B
C
Q
If PQ = AC, State whether the given As are congruent or not
justifying your answer.​

Answer 1

Answer:

in Δ ABC

∠A = 30°

∠B = 70°

∠A + ∠B + ∠C = 180°

=> 30° + 70° + ∠C = 180°

=> ∠C = 80°

in Δ PQR

∠P = 70°

∠Q = 80°

∠P + ∠Q + ∠R = 180°

=> 70° + 80° + ∠R = 180°

=> ∠R = 30°

∠A = ∠R = 30°

∠B = ∠P = 70°

∠C = ∠Q = 80°

=> ΔABC ≈ ΔRPQ

AB = RP

=> ΔABC ≅ ΔRPQ