In the diagram below, what is the measure of ∠BCD?

Question

In the diagram below, what is the measure of ∠BCD? https://gmatclub.com/forum/download/file.php?id=36490 (1) AB is parallel to DE. (2) ∠ABC = 55°. 2017-07-25_1016.png

Luckisnoexcuse · Answer

Hi  Bunuel

is ∠ABC = 550 correct..i suppose it will be ∠ABC = 55 Degree

SamratGanguly · Answer

Assuming angle ABC is 55 the answer will be 90+(180-55)=215

Sent from my iPhone using GMAT Club Forum

Bunuel · Answer

It's 55°. Edited. Thank you.

kanupriyatyagi · Answer

Is it C??

Since both statements would be required to measure the angle BCD

sasyaharry · Answer

Let  \angle BCD = x

Using statement 1:

From the new diagram attached, you can extend BC to intersect DE at a new point, say F.
The angle formed, i.e  \angle CFD = \angle ABC = y

In triangle CFD,  \angle CDF = 90 \angle FCD = 180 -x  
180 - x + y + 90 = 180
x-y = 90

Hence 1 is insufficient.

Statement 2 gives us  \angle ABC  but we dont know if AB and DE are ||

Using 1 and 2, we can find  \angle BCD = 180 - 35 = 145

In the diagram below, what is the measure of ∠BCD?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards