Question

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.

Answer 1

What is the measure of angle ACB?

32°

6°

24°

12°

Answer 2

@CGGURUMANJUNATH isn't degree the measure of angles

Answer 3

YES ,DEGREES IS THE MEASURE OF ANGLE.

Answer 4

@ganeshie8

Answer 5

@AravindG

Answer 6

@Zarkon

Answer 7

@texaschic101

Answer 8

@lalaly

Answer 9

cool question
this can make heads spin but i'm trying:)

Answer 10

yah

Answer 11

got it!

Answer 12

really how

Answer 13

wait i think i'm missing some thing
sorry
but please be patient i'll get you on that in a few moments

Answer 14

look it's related with the measure of the arc BA

Answer 15

did you get any idea??

Answer 16

not really

Answer 17

what i did is:

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:)