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Kaylis [27]
3 years ago
8

Angle 1 and angle 2 form a linear pair.if m angle =5x+9 and m angle 2=3x+11,find the measures of both angels.

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

Answer: ∠1 = 109°    ∠2 = 71°

<u>Step-by-step explanation:</u>

If the two angles form a linear pair, then their sum is 180°

  ∠1      +     ∠2     = 180°

(5x + 9) + (3x + 11) = 180

              8x + 20  = 180

              8x          = 160

                x          = 20

∠1 = 5x + 9

    = 5(20) + 9

    = 100   + 9

    = 109

∠2 = 3x + 11

     = 3(20) + 11

     =    60  + 11

     =         71

  <u> CHECK:</u>

∠1   + ∠2 = 180°

109° + 71° = 180°

     180°   = 180°  \checkmark

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