Respuesta :

fieryanswererft

solution:

  • m∠DWC = 138°  [ given angle ]

  • m∠AWB = 138° [ vertically opposite angles, same angle measure ]

  • m∠AWD = (360° - 138° - 138° ) ÷ 2 = 42°   [ total sum up to 360° ]

  • m∠CWB = 42°   [ vertically opposite angle ]
mhanifa

Step-by-step explanation:

According to the question we have:

  • AC and DC intersect at point W.
  • m∠DWC = 138°

The missing angle measures are:

  • m∠AWB = m∠DWC = 138° as vertical angles
  • m∠AWD = m∠BWC = 180° - 138° = 42° as supplementary with ∠DWC

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