Answer:
VU = 120° , WX = 100°
Step-by-step explanation:
(7)
An inscribed angle is half the measure of its intercepted arc , or
the intercepted arc is twice its inscribed angle, then
arc TV = 2 × 30° = 60°
the diameter is TU then arc TU = 180°
the sum of the arcs in the circle = 360° , so
VU + TV + TU = 360°
VU + 60° + 180° = 360°
VU + 240° = 360° ( subtract 240° from both sides )
VU = 120°
(8)
WY = 2 × 75° = 150°
WX + WY + YX = 360°
WX + 150° + 110° = 360°
WX + 260° = 360° ( subtract 260° from both sides )
WX = 100°
