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Math Expert V
Joined: 02 Sep 2009
Posts: 55732
What is the measure of angle AOB in the circle above with center O and  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 52% (01:38) correct 48% (01:54) wrong based on 23 sessions

HideShow timer Statistics 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 552 times ]

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Re: What is the measure of angle AOB in the circle above with center O and  [#permalink]

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Bunuel wrote: 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.
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When the going gets tough, the tough gets going... Re: What is the measure of angle AOB in the circle above with center O and   [#permalink] 14 Sep 2018, 02:32
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What is the measure of angle AOB in the circle above with center O and  