Question

Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 70°,BC = 6cm,∠C = 50°);
ΔXYZ;(∠Z = 60°,XY = 6cm,∠X = 70°).

Answer 1

In ΔABC and ΔXYZ
∠B = ∠X
BC = XY
∠Y = 180° - (70° + 60°) = 50°
∠C = ∠Y
Therefore,
ΔABC ≅ ΔXYZ   ...(ASA criteria).