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]
