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Answer :

Xenia168go

Answer:

14 ° ; 83 °

Step-by-step explanation:

( 14x - 1 )° + ( 2x + 2 )° = 97°

14x - 1 + 2x + 2 = 97

16x = 96

x = 6

m∠BCA = ( 2 × 6 + 2 )° = 14 °

m∠ABC = ( 14x - 1 )° = 83 °

Sum of two interiors is equal to the exterior

[tex]\\ \sf\Rrightarrow 14x-1+2x+2=97[/tex]

[tex]\\ \sf\Rrightarrow 16x+1=97[/tex]

[tex]\\ \sf\Rrightarrow 16x=96[/tex]

[tex]\\ \sf\Rrightarrow x=6[/tex]

  • m<BCA=2(6)+2=14°
  • m<ABC=14(2)-1=27°

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