Respuesta :

gmany

Answer:

∠DBE = 105°

Step-by-step explanation:

Angles on one side of a straight line always add to 180°.

Therefore we have the equation:

[tex]35+(3x-15)+x=180[/tex]

[tex]35+3x-15+x=180[/tex]             combine like terms

[tex](35-15)+(3x+x)=180[/tex]

[tex]20+4x=180[/tex]           subtract 20 from both sides

[tex]4x=160[/tex]          divide both sides by 4

[tex]x=40[/tex]

∠DBE = 3x - 15. Substitute:

[tex]\angle DBE=\bigg(3(40)-15\bigg)^o=\bigg(120-15\bigg)^o=105^o[/tex]

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