1) Not an inscribed angle (vertex is not on the circle).
2) Not an inscribed angle (vertex is not on the circle).
3) Inscribed angle: ∠MNO, intercepted arc: arc MO.
4) Inscribed angle: ∠RST, intercepted arc: arc RT.
5) m∠CDE = 75° → arc CE = 150° (Inscribed angle is half the measure of its intercepted arc).
6) arc SU = 175° → m∠STU = 87.5° (Inscribed angle is half the measure of its intercepted arc).
7) m∠TUX = 89°, arc UX = 127° → arc UT = 178° - 127° = 51° (Inscribed angle TUX intercepts arc TX; so arc TX = 2 × 89° = 178°. Since arc UX + arc UT = arc TX, then arc UT = 178° - 127°).
8) m∠GHK = 52.5° → arc GK = 105° → 10x + 5 = 105 → x = 10.
9) m∠FGH = 70° → arc FH = 140° → arc FH = arc F + arc H = 135° + (10x + 5)° → 135 + 10x + 5 = 140 → 10x = 0 → x = 0.
Parent Tip: Review the logic above to help your child master the concept of inscribed angle practice worksheet.
