Question

▵ ABC ≅ ▵XYZ,∠A=50°,∠B=60°the m∠Z=_______ ​

Answer 1

Answer:

In ΔABC

D and E are midpoints of AB and BC

By midpoint theorem

∴ DE || AC, DE =

12 AC.

F is the midpoint of AC

Then, DE =

12 AC = CF

In a quadrilateral DECF

DE || AC, DE = CF

Hence DECF is a parallelogram

∴∠C = ∠D = 70° [Opposite sides of parallelogram]

Similarly

BEFD is a parallelogram, ∠B = ∠F = 60°

ADEF is a parallelogram, ∠A = ∠E = 50°

∴Angles of ΔDEF

∠D = 70°, ∠E = 50°, ∠F = 60°