Question

Find y.
Help me please thanks

Answer 1

Explanation:

Discussion

First draw FH

<FOH and <FGH share the end points of the chord FH

<FOH is a central angle.

<FGH touches the circumference of the circle in the on the same side of the point of angle <FOH is closest to

Therefore <FGH is 1/2 <FOH. That is always true of central angles and the smaller angle touching the circumference that <FOH points to

Conclusion

<FGH = 1/2 < FOH

58 = 1/2 <FOH

Therefore <FOH = 2 * 58 = 116

y = < FOH

Answer

y = 116