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In the figure above O is the center of the circle and ∠A is a right an

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In the figure above O is the center of the circle and ∠A is a right an [#permalink]

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New post 08 Nov 2016, 01:06
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In the figure above O is the center of the circle and ∠A is a right angle. If AE=AB, and ∠EAB=90º, and BC=CD=DE, what is the value of x in the figure above?

A. 150
B. 152
C. 160
D. 164
E. 172

Attachment:
T6158.png
T6158.png [ 12.06 KiB | Viewed 1304 times ]

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In the figure above O is the center of the circle and ∠A is a right an [#permalink]

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New post 08 Nov 2016, 07:16
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Since BAE = 90 degrees --> Line BOE = Diameter --> Angle BOE = 180

Refer to the below figure:
1. Triangles OAB and OAE are similar --> Angle BOE = 2y = 180 --> y = 90
2. Triangles OED, OCD and OCB are all similar --> Angle BOE = 3l = 180 --> l = 60

Angle x = l + y = 150

Answer: A
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In the figure above O is the center of the circle and ∠A is a right an [#permalink]

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New post 11 Mar 2018, 09:52
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In the figure above O is the center of the circle and ∠A is a right angle. If AE=AB, and ∠EAB=90º, and BC=CD=DE, what is the value of x in the figure above?

A 150

B 152

C 160

D 164

E 172
_________________

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Posts: 5890
Re: In the figure above O is the center of the circle and ∠A is a right an [#permalink]

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New post 11 Mar 2018, 10:15
Tridhipal wrote:
Attachment:
13.png

In the figure above O is the center of the circle and ∠A is a right angle. If AE=AB, and ∠EAB=90º, and BC=CD=DE, what is the value of x in the figure above?

A 150

B 152

C 160

D 164

E 172


Join EB.. it will pass through centre of circle..
Now there two different chords..
1) EA=AB so they will subtend equal angle from centre =180/2=90
2) BC=CD=DE, do they will subtend equal angles = 180/3=60

X = 60+90=150

A
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Re: In the figure above O is the center of the circle and ∠A is a right an [#permalink]

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New post 11 Mar 2018, 11:09
Tridhipal wrote:
Attachment:
13.png

In the figure above O is the center of the circle and ∠A is a right angle. If AE=AB, and ∠EAB=90º, and BC=CD=DE, what is the value of x in the figure above?

A 150

B 152

C 160

D 164

E 172


Merging topics. Please search before posting. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: In the figure above O is the center of the circle and ∠A is a right an   [#permalink] 11 Mar 2018, 11:09
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