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____ [38]
3 years ago
7

Can someone please help me find the DBE=

Mathematics
1 answer:
Hatshy [7]3 years ago
4 0

Answer:

<h2>∠DBE = 105°</h2>

Step-by-step 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             <em>combine like terms</em>

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

20+4x=180           <em>subtract 20 from both sides</em>

4x=160          <em>divide both sides by 4</em>

x=40

∠DBE = 3x - 15. Substitute:

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

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