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Diketahui , . Tentukan .

Diketahui begin mathsize 14px style straight m angle BAD equals x plus 30 end style, begin mathsize 14px style straight m angle BCD equals 5 x end style. Tentukan begin mathsize 14px style straight m angle BOD end style.


Jawaban:

Diketahui:

begin mathsize 14px style straight m angle BAD equals x plus 30 end style
begin mathsize 14px style straight m angle BCD equals 5 x end style

Karena begin mathsize 14px style angle BAD space dan space angle BCD end style merupakan sudut keliling.
Menentukan sudut pusat:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight angle BOD space minor end cell equals cell 2 cross times straight angle BAD end cell row blank equals cell 2 left parenthesis straight x plus 30 right parenthesis end cell row blank equals cell 2 straight x plus 60 end cell row cell straight angle BOD space mayor end cell equals cell 2 cross times straight angle BCD end cell row blank equals cell 2 left parenthesis 5 straight x right parenthesis end cell row blank equals cell 10 straight x end cell end table end style 

Menentukan nilai begin mathsize 14px style x end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight angle BOD blank minor plus straight angle BOD blank mayor end cell equals cell 360 degree end cell row cell 2 x plus 60 plus 10 x end cell equals cell 360 degree end cell row cell 2 x plus 10 x end cell equals cell 360 degree minus 60 degree end cell row cell 12 x end cell equals cell 300 degree end cell row x equals cell fraction numerator 300 degree over denominator 12 end fraction end cell row x equals cell 25 degree end cell end table end style  

Menentukan 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 straight angle BOD space minor end cell equals cell 2 x plus 60 end cell row blank equals cell 2 left parenthesis 25 right parenthesis plus 60 end cell row blank equals cell 110 degree end cell end table end style 

Menentukan undefined:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight angle BOD space mayor end cell equals cell 10 x end cell row blank equals cell 10 left parenthesis 25 right parenthesis end cell row blank equals cell 250 degree end cell end table end style  

Jadi, begin mathsize 14px style angle BOD space minor end style dan undefined adalah begin mathsize 14px style 110 degree space dan space 250 degree end style.

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