wahaj8
wahaj8 wahaj8
  • 14-04-2021
  • Mathematics
contestada

plz fast solve it and It should be right ​

plz fast solve it and It should be right class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-04-2021

9514 1404 393

Answer:

  (i) ∠CDF = 86°

  (ii) ∠BAD = 141°

Step-by-step explanation:

(i) Angles CDF and GFD are "alternate interior" angles, so are congruent.

  ∠CDF = 86°

__

(ii) Angles BAD and CDA are "alternate interior angles, so are congruent. Angle CDA is the sum of angles CDH and HDA. Angle CDH is supplementary to angle CDF, so is ...

  ∠CDH = 180° -∠CDF = 180° -86° = 94°

Then ...

  ∠CDA = ∠CDH +∠HDA = 94° +47°

  ∠CDA = 141°

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