Respuesta :

kamilmatematik100504

Answer:  x=68 °

Step-by-step explanation:

The sum of the angles h in the n-gon is calculated by the formula :

[tex]\displaystyle \rm S=180(n-2)[/tex]

where n is the number of sides

Then the sum of all the corners of the pentagon is equal to

[tex]\rm S=180(5-2)=540 \\\\[/tex]

[tex]\displaystyle x+(x+60)+(x+80)+(x+40)+(x+20)=540 \\\\ 5x+200=540 \\\\ 5x=340 \\\\ \boxed{x=68^{\circ}}[/tex]

Its a Pentagon

[tex]\\ \sf\longmapsto x+x+60+x+40+x+80+x+20=540[/tex]

[tex]\\ \sf\longmapsto 5x+200=540[/tex]

[tex]\\ \sf\longmapsto 5x=540-200[/tex]

[tex]\\ \sf\longmapsto 5x=340[/tex]

[tex]\\ \sf\longmapsto x=340/5[/tex]

[tex]\\ \sf\longmapsto x=68[/tex]

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