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DᴀʀᴋPᴀʀᴀᴅᴏx

According to above question :

  • 4x + 7 = 5(x - 4)

because, they form pair of vertical opposite angles which are equal.

so, let's solve for value of x :

  • [tex]4x + 7 = 5x - 20[/tex]

  • [tex]5x - 4x = 7 + 20[/tex]

  • [tex]x = 27[/tex]

Answer:

[tex]{ \tt{(4x + 7) \degree = \{5(x - 4) \}\degree}} \\ { \rm \{alternate \: angles \}} \\ \\ { \tt{4x + 7 = 5x - 20}} \\ { \tt{5x - 4x = 7 + 20}} \\ \\ { \underline{ \tt{ \: \: x = 27 \: \: }}}[/tex]

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