- Congruent Arcs 14 6 D K B O 10 Prove The Following Theorem The Measure Of An Angle Formed By Two Secants Of A Circle I 1 (178.2 KiB) Viewed 30 times
DON'T DO NUMBER 10. USE THE PICTURE FROM NUMBER 10 TO ANSWER
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CONGRUENT ARCS 14-6 D K B Ø 10. Prove the following theorem. The measure of an angle formed by two secants of a circle intersecting at a point in the interior of the circle is one- half the sum of the measures of the arcs intercepted by the angle and its vertical angle. (Hint: Prove mZDKB }(MDB + mAC). First introduce BC.] 11. In the figure for Problem 10, given that (a) mDB 40 and mÃc 90, find mZAKC. (b) mAD 100 and mBC 170, find mZBKC. (c) MAC 130 and m2 DKB = 75, find mDB. (d) MACD 310 and mBC 200, find mZAKC. (e) mBAC = 180 and m2 DKB 57, find mad. = = -