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inrnorno34nfp3mpfn3ofkp4fof34f3

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Answer :

Answer:

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Step-by-step explanation:

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Answer:

[tex] m\angle CBD = 35\degree [/tex]

[tex] m\angle DBE = 92\degree [/tex]

Step-by-step explanation:

[tex] m\angle CBD = m\angle FBG[/tex]

(Vertical angles)

[tex] \because m\angle FBG = 35\degree [/tex]

[tex] \therefore m\angle CBD = 35\degree [/tex]

[tex] m\angle DBE +m\angle ABD= 180\degree [/tex]

(Linear pair angles)

[tex] m\angle DBE +m\angle CBD + m\angle ABC = 180\degree [/tex]

[tex] m\angle DBE + 35\degree + 53\degree = 180\degree [/tex]

[tex] m\angle DBE + 88\degree = 180\degree [/tex]

[tex]m\angle DBE = 180\degree -88\degree [/tex]

[tex] m\angle DBE = 92\degree [/tex]

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