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In die diagram hieronder is O die middelpunt van sirkel CDIF - NSC Technical Mathematics - Question 8 - 2023 - Paper 2

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In die diagram hieronder is O die middelpunt van sirkel CDIF. $JCS = 55^ ext{°}, C_H = 38^ ext{°}$ en $CD || FH$ Bepaal, met redes, die grootte van elk van die volg... show full transcript

Worked Solution & Example Answer:In die diagram hieronder is O die middelpunt van sirkel CDIF - NSC Technical Mathematics - Question 8 - 2023 - Paper 2

Step 1

8.2.1 $D_1$

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Answer

D1=55ext°D_1 = 55^ ext{°} (Die hoek teenoor die koord is gelyk aan die tangent aan die sirkel by die raakpunt.)

Step 2

8.2.2 $F_3$

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Answer

F3=55ext°F_3 = 55^ ext{°} (Alternatiewe hoeke tussen CDCD en FHFH is gelyk.)

Step 3

8.2.3 $F_1$

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Answer

F1=35ext°F_1 = 35^ ext{°} (Die hoeke teenoor mekaar in FF is gelyk aan mekaar.)

Step 4

8.2.4 $D_FC$

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Answer

DFC=52ext°D_FC = 52^ ext{°} (Die som van die hoeke in die sirkel is 180ext°180^ ext{°}; DFC=180ext°38ext°55ext°=52ext°D_FC = 180^ ext{°} - 38^ ext{°} - 55^ ext{°} = 52^ ext{°}.)

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