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: What is the measure of angle ACB?

Question

shesolitt · Answer

attachment

shesolitt · Answer

A. 32
B.60
C.28
D.16

shesolitt · Answer

I know its not 28 i did it and i got it wrong.

shesolitt · Answer

@GirlgoyleH. @freegirl11112 @Kate_J2002 @adilalvi @Loser66 @Wendysbro @sleepyhead314  PLEASE HELPP

sleepyhead314 · Answer

what are we looking for?

shesolitt · Answer

what is the measure of acb @sleepyhead314

sleepyhead314 · Answer

http://www.regentsprep.org/regents/math/geometry/gp15/circleangles.htm

sleepyhead314 · Answer

that link should cover all the rules we need

sleepyhead314 · Answer

so using this...
the arc XA would be 56 * 2

sleepyhead314 · Answer

and then angle C would be...

<ACB = (1/2)(176 - 112)

sleepyhead314 · Answer

Simplifying that ^^ should get you to the right answer :)

shesolitt · Answer

so the answer would be 32 right?

shesolitt · Answer

@sleepyhead314 thank you so much!!!

sleepyhead314 · Answer

32 would be correct :)

sleepyhead314 · Answer

you might want to familiarize yourself with the rules listed in the link I gave
that should help you with your future questions ^_^