Lines AC←→ and DB←→ intersect at point W. Also, m∠DWC=138°. Enter the angle measurements for each of the 3 angles shown

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 ]

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 anglesm∠AWD = m∠BWC = 180° - 138° = 42° as supplementary with ∠DWC

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The answer should be c.