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Perhatikan lingkaran O di bawah!  Diketahui ....

Perhatikan lingkaran O di bawah! 



Diketahui begin mathsize 14px style straight m angle BAD equals straight x plus 20 comma space straight m angle BCD equals 3 straight x end style. Tentukan! 

a. begin mathsize 14px style straight m angle BOD space minor end style 

b. begin mathsize 14px style straight m angle BOD space mayor end style 

Jawaban:

Dengan menggunakan sifat segi empat tali busur diperoleh 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle BAD plus angle BCD end cell equals cell 180 degree end cell row cell open parentheses x plus 20 degree close parentheses plus 3 x end cell equals cell 180 degree end cell row cell 4 x plus 20 degree end cell equals cell 180 degree end cell row cell 4 x end cell equals cell 160 degree end cell row x equals cell 40 degree end cell end table end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle BAD end cell equals cell x plus 20 degree end cell row blank equals cell 40 degree plus 20 degree end cell row blank equals cell 60 degree end cell end table end style

a. Besar begin mathsize 14px style angle BOD space minor end style  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle BOD space minor end cell equals cell 2 cross times angle BAD end cell row blank equals cell 2 cross times 60 degree end cell row blank equals cell 120 degree end cell end table end style 

b. Besar undefined 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle BOD space mayor end cell equals cell 360 degree minus angle BOD space minor end cell row blank equals cell 360 degree minus 120 degree end cell row blank equals cell 240 degree end cell end table end style 

Jadi begin mathsize 14px style angle BOD space minor equals 120 degree end style dan begin mathsize 14px style angle BOD space mayor equals 240 degree end style

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