Question

Can someone please help me find the DBE=

Answer 1

∠DBE = 105°

Explanation:

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

Therefore we have the equation:

`35+(3x-15)+x=180`

`35+3x-15+x=180` combine like terms

`(35-15)+(3x+x)=180`

`20+4x=180` subtract 20 from both sides

`4x=160` divide both sides by 4

`x=40`

∠DBE = 3x - 15. Substitute:

`\angle DBE=\bigg(3(40)-15\bigg)^o=\bigg(120-15\bigg)^o=105^o`