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Perhatikan lingkaran O disamping. Diketahui m∠B...

Perhatikan lingkaran O disamping.

Diketahui m∠BAD = x + 20, m∠BCD = 3x
Tentukan:
   a.   m∠BOD minor

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle B A D plus angle B C D end cell equals cell 180 degree end cell row cell x plus 20 plus 3 x end cell equals 180 row cell 4 x plus 20 end cell equals 180 row cell 4 x end cell equals 160 row x equals cell 40 degree end cell end table end style

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

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle B O D blank minor end cell equals cell 1 half cross times angle B A D end cell row blank equals cell 1 half cross times 60 degree end cell row blank equals cell 30 degree end cell end table end style

Jadi, m∠BOD minor adalah 30°.

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