What is the measure of ∠BCD? Enter your answer in the box.

Question

asked Apr 14, 2018 97.0k views

2 Answers

Krenel · Answer 1 · 2018-04-19T08:51:43+0000

Answer: The measure of angle BCD is 77 degree.

Step-by-step explanation:

From the given figure it is noticed that the side AB and DC are parallel and side AD and BC are parallel. So the given figure is a parallelogram.

It is given the measure of angle BCD is 103 degree.

According the property of parallelogram, any two consecutive angles of a parallelogram are supplementary angles.

Since the given figure is a parallelogram therefore angle ABC and angle BCD are supplementary angles.

$\angle ABC+\angle BCD=180$

$103+\angle BCD=180$

$\angle BCD=180-103$

$\angle BCD=77^(\circ)$

Therefore, the measure of angle BCD is 77 degree.