Triangles ABC and EDK are rectangular: angle A = angle D = 90, AB = 4cm, BC = 5 cm, AC = 4cm

Triangles ABC and EDK are rectangular: angle A = angle D = 90, AB = 4cm, BC = 5 cm, AC = 4cm, KE = 5 cm, DE = 4cm. Prove that the angles B and K are equal.

Since angle A = angle D, it means that triangles ABC and EDK are rectangular. Let’s consider their sides:

1) AC = DE = 4 centimeters.

2) KE = BC = 5 centimeters.

Based on the above, triangles ABC and EDK are equal in 1 sign of equality of triangles (along 2 sides and an angle between them). Therefore, since ABC = EDK, angles B and K are equal.