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Diferenta a doua unghiuri complementare este un unghi cu masura de 13º14'16''. Calculati masura fiecarui unghi.

Răspuns :

Suma a doua unghiuri complementare este 90 de grade.
⇒a+b=90;
⇒a=b+13[grade]14[minute]16[secunde];
⇒2b=76[grade]45[minute]44[secunde];
b=38[grade]22[minute]52[secunde]⇒al doilea unghi;
⇒a=51[grade]37[minute]8[secunde]⇒primul unghi;
[tex]x+y=90^0 \\\\\ x-y=13^0 \ 14' \ 16" \\\\ \underline{\hbox{Adunam cele 2 relatii}} \\\\ 2x= 103^0 \ 14' \ 16" \ \ \ |:2 \\\\ \boxed{x= 51^0 \ 37' \ 8"} \\\\ y=90^0 -51^0 \ 37' \ 8" \\\\ \boxed{y= 39^0 \ 22' \ 52"}[/tex]