А B 12. Prove the following theorem. The measure of an angle formed by two secants of a circle intersecting at K a point
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DO NOT DO 12. JUST USE THE PICTURE FROM NUMBER 12 TO DO 13.
А B 12. Prove the following theorem. The measure of an angle formed by two secants of a circle intersecting at K a point in the exterior of the circle is one-half the absolute value of the difference of the measures of the intercepted arcs. [Hint: Prove mZK = }(mBD – MAC). First introduce BC.] 13. In the figure for Problem 12, given that (a) mBD = 70 and mÁC = 30, find m2K. , b) (b) mBD = 126 and mAC = 18, find m2K. mac = 50 and mZK 22, find mBD. (d) mAB 80, mBD = 80, and mca 80, and mCD = 190, find mZK. (e) MZK = 28, mABD = 166, and MACB , 290, find mCD. = = (c) mẠC = -