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°