pappueshwar wrote:Points A, B, C and D lie on a circle of radius 1. Let x be the length of arc AB and y the length of arc CD respectively, such that X < PIE and Y < PIE . Is X>Y ?
1. ANGLE ADB is acute
2. ANGLE ADB > ANGLE CAD
pls assist in understanding this . OA IS B
An inscribed angle is formed by two chords.
In the figure above:
Inscribed ∠ADB intercepts arc AB.
Inscribed ∠CAD intercepts arc CD.
A GREATER inscribed angle intercepts a GREATER FRACTION of the circumference.
In the figure above:
∠ADB > ∠CAD.
The result is that AB > CD.
Put simply:
The GREATER the inscribed angle, the LONGER the intercepted arc.
Question rephrased: Is ∠ADB > ∠CAD?
Statement 1: ∠ADB is acute
No information about ∠CAD.
INSUFFICIENT.
Statement 2: ∠ADB > ∠CAD
SUFFICIENT.
The correct answer is
B.
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