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# Is the measure of one of the interior angles of

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VP
Joined: 26 Apr 2004
Posts: 1225
Location: Taiwan
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Is the measure of one of the interior angles of [#permalink]  31 Aug 2004, 08:39
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Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees?

(1) Two of the interior angles of ABCD are right angles.

(2) The degree measure of angle ABC is twice the degree measure of angle BCD.
Manager
Joined: 16 May 2004
Posts: 65
Location: columbus
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[#permalink]  31 Aug 2004, 09:11
I think its A. If 2 angles are 90, Can there be any other value for the remaining angles other than 90
SVP
Joined: 16 Oct 2003
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[#permalink]  31 Aug 2004, 09:17
Please check the figure below by Dookie.

http://www.gmatclub.com/phpbb/viewtopic.php?t=9252
Senior Manager
Joined: 16 Aug 2004
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[#permalink]  31 Aug 2004, 10:37
I got choice C
Working with a)
There are two possiblities
1. The quadilateral is a rectangle (if two interior angles are opposite to each other)
2. The quadilateral has two parallel sides (if the angles are adjacent to each other)

The condition is therefore insufficient

Working with b)
Nothing can be assessed.

When both are used
The first possiblity of condition a is ruled out.
In the second possiblity, since the lines are parallel, the sum of interior angles should be 180
therefore
angle ABC + Angle BCD=180
ie 2x+x=180
Therfore x=60

Therefore the option C
VP
Joined: 26 Apr 2004
Posts: 1225
Location: Taiwan
Followers: 2

Kudos [?]: 164 [0], given: 0

[#permalink]  01 Sep 2004, 06:59
Thank you dushver.

The answer indeed is (C)
[#permalink] 01 Sep 2004, 06:59
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# Is the measure of one of the interior angles of

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