Question

ABCD is a rectangle and CE ll BD . if angleBEC = 40°, find the measure of each of the angles marked a, b,c,d and e​

Answer 1

Answer:

Step-by-step explanation:

∠A = ∠E (opposite angles are equal)

= 40 degrees

∠B = 180 - ∠A (Adjacent angles are supplementary)

= 180 - 40 = 140 degrees

∠B = ∠E (Opposite angles are equal)

= 140 degrees

∠C = 90 degrees (Opposite angles are equal and diagonals of a square bisect at 90 degrees)

∠D = 90 - 40 = 50 degrees

Answer 2

Answer:

a = 40 degrees

b = 140 degrees

c  = 90 degrees

d = 550 degrees

Step-by-step explanation:

∠A = ∠E (opposite angles are equal)

= 40 degrees

∠B = 180 - ∠A (Adjacent angles are supplementary)

= 180 - 40 = 140 degrees

∠B = ∠E (Opposite angles are equal)

= 140 degrees

∠C = 90 degrees (Opposite angles are equal and diagonals of a square bisect at 90 degrees)

∠D = 90 - 40 = 50 degrees