AMSCO'S Geometry. New York - Rye High School

556 Geometry of the Circle2. In circle O, ABC is an inscribed angle and mACX 50. In circle O, PQR is an inscribedangle and mPRX 50. Is ABC PQR if the circles are not congruent circles? Justifyyour answer.Developing SkillsIn 3–7, B is a point on circle O not on ACX , an arc of circle O. Find mABC for each given m ACX .3. 88 4. 72 5. 170 6. 200 7. 280In 8–12, B is a point on circle O not on ACX , an arc of circle O. Find mACXfor each given mABC.8. 12 9. 45 10. 60 11. 95 12. 12513. Triangle ABC is inscribed in a circle, mA 80 andmACX 88. Find:a. mBCX b. mB c. mC d. mABX e.mBAC XA8088C14. Triangle DEF is inscribed in a circle, DE > EF, and mEFX 100.Find:a. mD b. mDEX c. mF d. mE e. mDFXBDEF100In 15–17, chords AC and BD intersect at E in circle O.A15. If mB 42 and mAEB 104, find:a. mA b. mBCX c. mADX d. mD e. mC16. If AB DC and mB 40, find:Da. mD b. mADX c. mBCX d. mA e. mDEC17. If mADX 100, mABX 110, and mBCX 96, find:a. mDCX b. mA c. mB d. mAEB e. mC18. Triangle ABC is inscribed in a circle and mABX : mBCX : mCAX 2 : 3 : 7. Find:a. mABX b. mBCX c. mCAX d. mA e. mB f. mCECB