In die diagram is O die middelpunt van sirkel KLNM en KO en OM is verbind - NSC Mathematics - Question 8 - 2017 - Paper 2
Question 8
In die diagram is O die middelpunt van sirkel KLNM en KO en OM is verbind. Koord KN is verleng na S. $ ext{K}_2 = 55^ ext{o}$ en $ ext{N}_2 = 100^ ext{o}$.
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Worked Solution & Example Answer:In die diagram is O die middelpunt van sirkel KLNM en KO en OM is verbind - NSC Mathematics - Question 8 - 2017 - Paper 2
Step 1
8.1 $ ext{L}^ ext{i}$
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Answer
Die hoeke in 'n sikliese kwadrant ( ext{cyclic quad}) is teenoor mekaar gelyk. Dus,
Lexti=100exto.
Step 2
8.2 $ ext{O}^ ext{i}$
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Answer
Aangesien extN1 op 'n regstreekse lyn ( ext{straight line}) is,
N1=80exto.
En omdat die middelpunt die sirkel se hoeke is, weet ons dat:
O1=160exto.
Step 3
8.3 $ ext{M}^ ext{i}$
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Answer
Die som van die hoeke in die kwadrant is gelyk aan:
Mi=360exto−(100exto+55exto+160exto)
