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  • 19-05-2020
  • Mathematics
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PLEASEEEEE HELPPPP MEEE WITHHH NUMBERR 20!!!!!

PLEASEEEEE HELPPPP MEEE WITHHH NUMBERR 20 class=

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sqdancefan
sqdancefan sqdancefan
  • 19-05-2020

Answer:

  ∠3 = ∠4 = 60°

Step-by-step explanation:

Angles 1 and 3 are "remote interior angles" with respect to angle 2, so ...

  ∠2 = ∠1 + ∠3

  120° = 60° + ∠3 . . . fill in known values

  60° = ∠3 . . . . . . . . . subtract 60°

__

Since two of the interior angles in the triangle ABC are 60°, the third one is also. The interior angle at B (supplementary to angle 2) is corresponding to ∠4, so has the same measure as angle 4.

  ∠4 = 60°

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