Angle C is an inscribed angle of circle P. Angle C measures (x+2)° and arc AB measures (16x)°. Find x.

Question

anonymous · Answer

attachment

mathmate · Answer

Arc AB subtends 16x at the centre, and hence 8x at the circumference, which should equal angle C.
Solve for x.

anonymous · Answer

how would the equation go? @mathmate

mathmate · Answer

What is angle C given as?

anonymous · Answer

(x+2)°

mathmate · Answer

Good.
As I mentioned, arc AB (or chord AB) subtends an angle of 16x at the centre.  This stems from the definition of the arc of a circle.
Are you familiar with that?

anonymous · Answer

I learned it a long time ago and I cant seem to remember it :/

mathmate · Answer

Review the definition of an arc of a circle and confirm that this is the case.
Then you have probably learned that a chord subtending an angle 16x at the centre will subtend half that angle at the circumference, namely 8x.

eric_d · Answer

don't mind showing the full working @mathmate

mathmate · Answer

Sorry, I was away for a while.

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But since 8x is given also as (x+2)
so equate 8x=x+2 and solve for x.

anonymous · Answer

x=2/7?