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# Is the measure of one of the interior angles of

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Senior Manager
Joined: 07 Jul 2005
Posts: 402
Is the measure of one of the interior angles of [#permalink]

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26 Oct 2005, 21:57
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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.
Director
Joined: 14 Sep 2005
Posts: 985
Location: South Korea

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26 Oct 2005, 22:04
I go for E.

(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.

Even when we consider (1) and (2) at the same time, there are two possibilities
a) 120 = 60 * 2 (90, 90, 60, 120)
b) 90 = 45 * 2 (90, 90, 45, 135)
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Auge um Auge, Zahn um Zahn !

Senior Manager
Joined: 05 Oct 2005
Posts: 485

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27 Oct 2005, 10:48
I got C. Can someone explain why that is wrong.

Since the sum of the interior angles is 360, if 1) and 2) are taken together,

a) 120 = 60 * 2 (90, 90, 60, 120)
b) 90 = 45 * 2 (90, 90, 45, 135) <---- does not add up to 360!

so there can only be the 90,90,60,120....
I may be wrong, please explain..

Thanks
Manager
Joined: 01 Aug 2005
Posts: 68

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27 Oct 2005, 10:54
Quote:
b) 90 = 45 * 2 (90, 90, 45, 135) <---- does not add up to 360!

180 + 135 + 45 does add up to 360. Try it on a calculator.
Senior Manager
Joined: 05 Oct 2005
Posts: 485

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27 Oct 2005, 11:13
lol yes it does... sorry
27 Oct 2005, 11:13
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