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

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Bunuel
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In the diagram below, what is the measure of ∠BCD? [#permalink] New post   24 Jul 2017, 23:17
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In the diagram below, what is the measure of ∠BCD?


(1) AB is parallel to DE.
(2) ∠ABC = 55°.


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2017-07-25_1016.png
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C
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Re: In the diagram below, what is the measure of ∠BCD? [#permalink] New post   25 Jul 2017, 01:01
Bunuel wrote:
In the diagram below, what is the measure of ∠BCD?


(1) AB is parallel to DE.
(2) ∠ABC = 550.


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Attachment:
2017-07-25_1016.png


Hi Bunuel

is ∠ABC = 550 correct..i suppose it will be ∠ABC = 55 Degree
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Re: In the diagram below, what is the measure of ∠BCD? [#permalink] New post   25 Jul 2017, 01:07
Assuming angle ABC is 55 the answer will be 90+(180-55)=215


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Re: In the diagram below, what is the measure of ∠BCD? [#permalink] New post   25 Jul 2017, 01:12
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mynamegoeson wrote:
Bunuel wrote:
In the diagram below, what is the measure of ∠BCD?


(1) AB is parallel to DE.
(2) ∠ABC = 550.


Show Spoiler
Attachment:
2017-07-25_1016.png


Hi Bunuel

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


It's 55°. Edited. Thank you.
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Re: In the diagram below, what is the measure of ∠BCD? [#permalink] New post   27 Jul 2017, 05:55
Is it C??

Since both statements would be required to measure the angle BCD
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In the diagram below, what is the measure of ∠BCD? [#permalink] New post   07 Nov 2017, 11:15
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 \(\angle BCD = 180 - 35 = 145\)
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In the diagram below, what is the measure of ∠BCD? [#permalink]
07 Nov 2017, 11:15
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Bunuel
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