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Perhatikan gambar berikut!   Pada gambar di atas diketahui garis ,  dan . Jika , tentukan besar sudut yang lain!

Pertanyaan

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Pada gambar di atas diketahui garis begin mathsize 14px style g parallel to k end style, begin mathsize 14px style angle straight P subscript 2 equals angle straight P subscript 3 end style dan begin mathsize 14px style angle straight R subscript 1 equals angle straight R subscript 3 end style. Jika begin mathsize 14px style angle straight P subscript 1 equals 128 degree end style, tentukan besar sudut yang lain!

Pembahasan Soal:

Diketahui:

begin mathsize 14px style g parallel to k end style
begin mathsize 14px style angle straight P subscript 2 equals angle straight P subscript 3 end style
begin mathsize 14px style angle straight R subscript 1 equals angle straight R subscript 3 end style
begin mathsize 14px style angle straight P subscript 1 equals 128 degree end style

Menentukan besar begin mathsize 14px style angle straight P subscript 2 space dan space angle straight P subscript 3 end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight angle straight P subscript 2 end cell equals cell straight angle straight P subscript 3 equals 1 half cross times open parentheses 180 minus 128 close parentheses space open parentheses sudut space berpelurus close parentheses end cell row blank equals cell 1 half cross times 52 degree end cell row blank equals cell 26 degree end cell end table end style 

Menentukan besar begin mathsize 14px style angle straight R subscript 1 comma space angle straight R subscript 2 space dan space angle straight R subscript 3 end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight angle straight P subscript 2 plus straight angle straight P subscript 3 end cell equals cell straight angle straight R subscript 1 space left parenthesis sudut space berseberangan right parenthesis end cell row cell straight angle straight R subscript 1 end cell equals cell straight angle straight R subscript 2 equals 26 plus 26 end cell row blank equals cell 52 degree end cell row cell straight angle straight R subscript 3 end cell equals cell 180 minus 52 minus 52 end cell row blank equals cell 76 degree end cell end table end style 

Jadi, besar sudut yang lain adalah begin mathsize 14px style angle straight P subscript 2 equals angle straight P subscript 3 equals 26 degree comma space angle straight R subscript 1 equals angle straight R subscript 2 equals 52 degree comma space angle straight R subscript 3 equals 76 degree end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 Maret 2021

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