The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X.
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OpenStudy (anonymous):
OpenStudy (anonymous):
What is the measure of angle ACB?
32°
6°
24°
12°
OpenStudy (anonymous):
@CGGURUMANJUNATH isn't degree the measure of angles
OpenStudy (cggurumanjunath):
YES ,DEGREES IS THE MEASURE OF ANGLE.
OpenStudy (cggurumanjunath):
@ganeshie8
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OpenStudy (cggurumanjunath):
@AravindG
OpenStudy (cggurumanjunath):
@Zarkon
OpenStudy (cggurumanjunath):
@texaschic101
OpenStudy (cggurumanjunath):
@lalaly
OpenStudy (rajat97):
cool question
this can make heads spin but i'm trying:)
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OpenStudy (anonymous):
yah
OpenStudy (rajat97):
got it!
OpenStudy (anonymous):
really how
OpenStudy (rajat97):
wait i think i'm missing some thing
sorry
but please be patient i'll get you on that in a few moments
OpenStudy (rajat97):
look it's related with the measure of the arc BA
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OpenStudy (rajat97):
did you get any idea??
OpenStudy (anonymous):
not really
OpenStudy (rajat97):
what i did is:
|dw:1388252886483:dw|
by the cyclic quadrilateral theorem, the sum of the opposite angles=180
the measure of the arc is given so we can find out the measure of the remaining arc
and by the theorem that the angle subtended by a chord on the centre is double of teh angle subtended by the chord on the circumference of the circle
and most probably , i'm mistaken in calculating the measure of the remaining arc and i'm trying to do it:)