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can some one write this out on a peice of paper it’s finding the angle measures do it on a peice of paper so i can copy it ITS 100 points and brainliest

Can Some One Write This Out On A Peice Of Paper Its Finding The Angle Measures Do It On A Peice Of Paper So I Can Copy It ITS 100 Points And Brainliest class=

Sagot :

xenia168

Answer:

138 ° ; 140 °

Step-by-step explanation:

( 17x + 2 )° + ( 15x + 20 )° + ( 9x + 10 )° = 360°

17x + 2 + 15x + 20 + 9x + 10 = 360

41x + 32 = 360

41x = 328

x = 8

m∠BEF = ( 17 × 8 + 2 )° = 138 °

m∠ABC = ( 15 × 8 + 20 )° = 140 °

In any polygon exterior angles have sum 360°

[tex]\\ \sf\Rrightarrow 15x+20+9x+10+17x+2=360[/tex]

[tex]\\ \sf\Rrightarrow 41x+32=360[/tex]

[tex]\\ \sf\Rrightarrow 41x=328[/tex]

[tex]\\ \sf\Rrightarrow x=8[/tex]

  • m<BEF=17(8)+2=138°
  • m<ABC=15(8)+20=140°
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