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# In the figure shown, point O is the center of the semicircle

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Manager
Joined: 17 Jan 2006
Posts: 92
In the figure shown, point O is the center of the semicircle [#permalink]

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01 Jun 2006, 22:17
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In the figure shown, point O is the center of the semicircle and points B,C and D lie on the semicircle. If the length of line segment AB is equal to the length of line segment OC, what is the degree measure of angle BAO?
a. The degree measure of angle COD is 60
b. The degree measure of angle BCO is 40
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Manager
Joined: 09 May 2006
Posts: 99
Location: Bangalore, India

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02 Jun 2006, 01:15
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KUDOS
dinesh8 wrote:
In the figure shown, point O is the center of the semicircle and points B,C and D lie on the semicircle. If the length of line segment AB is equal to the length of line segment OC, what is the degree measure of angle BAO?
a. The degree measure of angle COD is 60
b. The degree measure of angle BCO is 40

D

Statement 1
60 = BAO + BCO (external angle = sum of 2 internal angles)
= BAO + OBC (OBC=BCO, isoceles triangle)
=BAO + BAO + BOA (same rule as above)
= 3 BAO (BAO = BOA, iscoleles triangle)

Statement 2
OBC = BCO = 40
40 = BAO + BOA
= 2 BAO
Manager
Joined: 29 Sep 2005
Posts: 125

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02 Jun 2006, 07:23
Agree with D.

Same explanation as shobhitb
02 Jun 2006, 07:23
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