Point O is the center of the circle. What is the value of x? (Assume that lines that appear to be tangent are tangent)
Please Explain how you got your answer. Thank you!

Question

Point O is the center of the circle. What is the value of x? (Assume that lines that appear to be tangent are tangent)
Please Explain how you got your answer. Thank you!

anonymous · Answer

attachment

anonymous · Answer

is this geo? if so, go lookup the formula ~~ i forgot it sorry. theres a thm for exactly this case

anonymous · Answer

@Luis_Rivera  thanks ;)

anonymous · Answer

@Luis_Rivera  know what that's called?

anonymous · Answer

@Luis_Rivera How did you come to that answer? Could you please explain?

anonymous · Answer

@Luis_Rivera  all deleted :)

anonymous · Answer

@Luis_Rivera How did you get your answer?

anonymous · Answer

@Luis_Rivera How did you get your answer?

phi · Answer

There is a theorem that for this problem, but you can work it out like this

A tangent forms a 90º angle with the radius
so you have 2 right triangles|dw:1359224229522:dw|

the 150 degree angle is bisected into 75º in each of the triangles.
knowing 2 of the angles: 90+75= 165 we can figure out the 3rd angle is 180-165=15
there are 2 15º angles that make up the angle x.  so x=30º

phi · Answer

the other way, using Luis theorem

is
|dw:1359224773949:dw|