Question

Quadrilateral ABCD is a parallelogram. DE = 6.1 cm and m∠DAB = 120°. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of A D is 10 centimeters and the length of D C is 5 centimeters. What is BC? cm What is m∠BCD? ° What is AB? cm What is EB? cm

Answer 1

BC = 10

m∠BCD?=120

AB=5

EB=6.1

Answer 2

The answer is below

Explanation:

A parallelogram is a polygon (has four sides and four angles) in which opposite sides are parallel and equal to each other. Opposite angles are equal and consecutive angles are supplementary. Also, the diagonals bisect each other.

BC = AD (opposite sides are equal)

BC = 10 cm

m∠BCD = m∠DAB (opposite angles are equal)

m∠BCD = 120°

AB = DC (opposite sides are equal)

AB = 5 cm

EB = DE (diagonals bisect each other at point E)

EB = 6.1 cm