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# Is the measure of one of the interior angles of

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Is the measure of one of the interior angles of [#permalink]  27 May 2007, 04:11
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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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.
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Re: DS- geometry [#permalink]  27 May 2007, 04:31
Balvinder wrote:
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.

For (E)

At first sight, it can be (C) but it is not

There are 02 cases for angle ABC and angle BCD
Case 1: ABC = 120 and BCD = 60
Case 2: ABC = 90 and BCD = 45
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E
Explanation of Kirakira is exactly right
You can see it in Trepazoids
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That's a good one. I was fooled by C
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Mishari wrote:
That's a good one. I was fooled by C

Good one! I was also fooled by C!!!
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i also selected E but the OA is C.

i am confused. the question is from sets number 30.
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