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14 Sep 2018, 02:05
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
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Question Stats:
48% (01:50) correct
52%
(01:50)
wrong
based on 54
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What is the measure of angle AOB in the circle above with center O and inscribed triangle ABC?
(1) The length of AB equals that of BC
(2) The measure of angle ACB is half the measure of angle AOB
Attachment:
image010.gif [ 2.16 KiB | Viewed 4997 times ]
14 Sep 2018, 02:32
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Bunuel
What is the measure of angle AOB in the circle above with center O and inscribed triangle ABC?
(1) The length of AB equals that of BC
(2) The measure of angle ACB is half the measure of angle AOB
Attachment:
image010.gif
S1 - AB=BC
\(\angle\) ABC=90 [AC is diameter and ABC is angle in a semicircle]
\(\angle\) ACB=\(\angle\) CAB = 45
Triangles AOB and COB are similar, \(\angle\) AOB=\(\angle\)COB=90
Sufficient.
S2 = \(\angle\)ACB=\(\frac{1}{2}\)\(\angle\)AOB
Insufficient.
Answer A.
28 Jan 2020, 04:34
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souvonik2k
Bunuel
What is the measure of angle AOB in the circle above with center O and inscribed triangle ABC?
(1) The length of AB equals that of BC
(2) The measure of angle ACB is half the measure of angle AOB
Attachment:
image010.gif
S1 - AB=BC
\(\angle\) ABC=90 [AC is diameter and ABC is angle in a semicircle]
\(\angle\) ACB=\(\angle\) CAB = 45
Triangles AOB and COB are similar, \(\angle\) AOB=\(\angle\)COB=90
Sufficient.
S2 = \(\angle\)ACB=\(\frac{1}{2}\)\(\angle\)AOB
Insufficient.
Answer A.
Can you explain S2? chetan2u
