2. In the circle shown, secants PE and PF have been drawn such that mCE  82 , mDF  98 and the ratio 3. In circle O, tangent MQ , secant MN and chord PN are drawn. If mNPQ  102 and mM  60 ,  COMMON CORE GEOMETRY, UNIT #9 – CIRCLE GEOMETRY - LESSON #7 eMATHINSTRUCTION, RED HOOK, NY 12571, © 2018 Date:  of mCD to mEF is 2:7. Determine the measure of P . Show how you arrived at your answer.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem