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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given Angles (4x + 2) and (3x + 3) are forming linear pair, so

  • [tex]4x + 2 + 3x + 3 = 180[/tex]

  • [tex]7x + 5 = 180[/tex]

  • [tex]7x = 180 - 5[/tex]

  • [tex]7x = 175[/tex]

  • [tex]x = \dfrac{175}{7} [/tex]

  • [tex]x = 25[/tex]

now, let's find Angle DCB :

  • [tex]3x + 3[/tex]

  • [tex](3 \times 25) + 3[/tex]

  • [tex]75 + 3[/tex]

  • [tex]78 \degree[/tex]

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