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9-6 Other Angles
Don’t write this down yet!!!!!! ,[object Object]
[object Object],[object Object],Theorem  Each angle is ½ of the  sum  of the intercepted arcs. A B D C 1 1 2 2 m  1 = ½(m CD  + m AB ) m  2 = ½(mBC + mAD)
[object Object],[object Object],Theorem The angle is ½ of the  difference   of the intercepted arcs. A B C 1 m  1 = ½(m BC  - m AC )
[object Object],[object Object],Theorem Each angle is ½ of the  difference   of the intercepted arcs. P Q R 2 m  2 = ½(m PQR  - m PR )
[object Object],[object Object],Theorem Each angle is ½ of the  difference   of the intercepted arcs. W Y Z 3 m  3 = ½(m XY  - m WZ ) X
Practice T Q R P m  PRQ = 130 ° m RTQ  = ???????? 130 °
Practice T Q R P m  PRQ = 130 ° m RTQ  = 2(130 °) = 260° 130 °
Practice E H G D Solve for x (arc GF) 200 ° 72 ° x ° F
Practice E H G D Solve for x 200 ° 72 ° x ° m  GHF = ½(mEDG - mGF) 72 °  = ½(200 °  - x ° ) 144° = 200° - x° x = 56 F
SPICSA Page 360  2-20 even

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9 6 Other Angles