Răspuns:
Explicație pas cu pas:
50+14x+18+14x+18+50=360
14x+14x=360-50-18-18-50
28x=224
x= 224:28
x= 8°
Suma unghiurilor într-un patrulater convex este 360°.
[tex]50^{\circ}+14x^{\circ}+18^{\circ}+50^{\circ}+14x^{\circ}+18^{\circ}=360^{\circ}\\[/tex]
[tex]28x^{\circ}=360^{\circ}-136^{\circ}[/tex]
[tex]28x^{\circ}=224^{\circ}[/tex]
[tex]x^{\circ}=224^{\circ}:28[/tex]
[tex]\implies \bf x^{\circ}=8[/tex]
______
Pentru un paralelogram: oricare două unghiuri alăturate sunt suplementare.
[tex]50^{\circ}+14x^{\circ}+18^{\circ}=180^{\circ}\\[/tex]
[tex]14x^{\circ}=180^{\circ}-68^{\circ}[/tex]
[tex]14x^{\circ}=112^{\circ}[/tex]
[tex]x^{\circ}=112^{\circ}:14[/tex]
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Verified answer
Răspuns:
Explicație pas cu pas:
50+14x+18+14x+18+50=360
14x+14x=360-50-18-18-50
28x=224
x= 224:28
x= 8°
Suma unghiurilor într-un patrulater convex este 360°.
[tex]50^{\circ}+14x^{\circ}+18^{\circ}+50^{\circ}+14x^{\circ}+18^{\circ}=360^{\circ}\\[/tex]
[tex]28x^{\circ}=360^{\circ}-136^{\circ}[/tex]
[tex]28x^{\circ}=224^{\circ}[/tex]
[tex]x^{\circ}=224^{\circ}:28[/tex]
[tex]\implies \bf x^{\circ}=8[/tex]
______
Pentru un paralelogram: oricare două unghiuri alăturate sunt suplementare.
[tex]50^{\circ}+14x^{\circ}+18^{\circ}=180^{\circ}\\[/tex]
[tex]14x^{\circ}=180^{\circ}-68^{\circ}[/tex]
[tex]14x^{\circ}=112^{\circ}[/tex]
[tex]x^{\circ}=112^{\circ}:14[/tex]
[tex]\implies \bf x^{\circ}=8[/tex]