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Diketahui garis sejajar dengan garis . Hitunglah  ...

Diketahui garis l sejajar dengan garis m. Hitunglah angle straight C jika straight angle straight A equals 100 degree dan straight angle straight B equals 105 degree.

Jawaban:

Ingat sudut dalam segitiga berjumlah 180 degree dan sudut sepihak pada 2 garis yang sejajar besarnya sama. Lihat ilustrasi gambar berikut.

Sehingga diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell straight A subscript 1 plus straight B plus straight C subscript 1 end cell equals cell 180 degree end cell row cell straight A subscript 1 plus 105 degree plus straight C subscript 1 end cell equals cell 180 degree end cell row cell straight A subscript 1 plus straight C subscript 1 end cell equals cell 180 degree minus 105 degree end cell row cell straight A subscript 1 plus straight C subscript 1 end cell equals cell 75 degree end cell row cell straight A subscript 1 end cell equals cell 75 degree minus straight C subscript 1 horizontal ellipsis left parenthesis i right parenthesis end cell end table

dan

table attributes columnalign right center left columnspacing 0px end attributes row cell straight A subscript 2 plus straight C subscript 2 end cell equals cell 180 degree space left parenthesis sudut blank sepihak right parenthesis end cell row cell straight A subscript 2 end cell equals cell 180 degree minus straight C subscript 2 horizontal ellipsis left parenthesis i i right parenthesis end cell end table

Maka didapatkan

table attributes columnalign right center left columnspacing 0px end attributes row cell straight angle straight A end cell equals cell 100 degree end cell row cell straight A subscript 1 plus straight A subscript 2 end cell equals cell 100 degree horizontal ellipsis left parenthesis i i i right parenthesis end cell end table

Substitusikan persamaan (i) dan (ii) ke persamaan (iii)

table attributes columnalign right center left columnspacing 0px end attributes row cell straight A subscript 1 plus straight A subscript 2 end cell equals cell 100 degree end cell row cell 75 degree minus straight C subscript 1 plus 180 degree minus straight C subscript 2 end cell equals cell 100 degree end cell row cell 75 degree plus 180 degree minus 100 degree end cell equals cell straight C subscript 1 plus straight C subscript 2 end cell row cell 255 degree minus 100 degree end cell equals cell straight C subscript 1 plus straight C subscript 2 end cell row cell 155 degree end cell equals cell straight C subscript 1 plus straight C subscript 2 end cell row cell 155 degree end cell equals cell straight angle straight C end cell end table

Jadi, dapat disimpulkan bahwa besar straight angle straight C equals 155 degree.

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