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

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In the diagram below, what is the measure of ∠BCD? [#permalink]

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New post 24 Jul 2017, 22:17
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In the diagram below, what is the measure of ∠BCD?
Image

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


[Reveal] Spoiler:
Attachment:
2017-07-25_1016.png
2017-07-25_1016.png [ 3.35 KiB | Viewed 594 times ]
[Reveal] Spoiler: OA

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Re: In the diagram below, what is the measure of ∠BCD? [#permalink]

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New post 25 Jul 2017, 00:01
Bunuel wrote:
In the diagram below, what is the measure of ∠BCD?
Image

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


[Reveal] Spoiler:
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]

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New post 25 Jul 2017, 00:07
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]

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New post 25 Jul 2017, 00:12
mynamegoeson wrote:
Bunuel wrote:
In the diagram below, what is the measure of ∠BCD?
Image

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


[Reveal] 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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: In the diagram below, what is the measure of ∠BCD? [#permalink]

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New post 27 Jul 2017, 04:55
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]

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New post 07 Nov 2017, 10:15
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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slice1.png [ 10.69 KiB | Viewed 207 times ]


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In the diagram below, what is the measure of ∠BCD?   [#permalink] 07 Nov 2017, 10:15
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In the diagram below, what is the measure of ∠BCD?

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