Looking for help with some geometry questions today!

Please only answer if you know the answer and can support it by showing you work. If you have a comment or do not know the answer, tell me that in the comment section, do not answer the question. Don't take my points and I want take yours!

Anyways, please show all of you work and explain your thinking! Answer all 5 parts of this question! Good luck!

Looking for help with some geometry questions today Please only answer if you know the answer and can support it by showing you work If you have a comment or do class=
Looking for help with some geometry questions today Please only answer if you know the answer and can support it by showing you work If you have a comment or do class=
Looking for help with some geometry questions today Please only answer if you know the answer and can support it by showing you work If you have a comment or do class=
Looking for help with some geometry questions today Please only answer if you know the answer and can support it by showing you work If you have a comment or do class=
Looking for help with some geometry questions today Please only answer if you know the answer and can support it by showing you work If you have a comment or do class=

Respuesta :

Answer:

A) Central angle has same value as intercepted arc

  • GD is the diameter ⇒ mGFED = 180°
  • mDE + mGF = 180° - 90°
  • mDE = 90° - mGF = 90° - 46° = 44°

B) Inscribed angle is half of the intercepted arc:

  • ∠WTV = 1/2(90°) = 45°

C) Sum of angles of triangle is 180° and inscribed angle is half of the intercepted arc:

  • m∠RST = (180° - 67° - 102°/2) = 62°

D) Inscribed angle is half of the intercepted arc:

  • m∠HJK = 1/2(80° + 84°) = 62°
  • mHJ = 2*81° - 84° = 98°

E) Tangent chord angle is half of the intercepted arc:

  • m∠XYZ = 1/2(188°) = 94°