Question

Lines AC←→ and DB←→ intersect at point W. Also, m∠DWC=138°.

Enter the angle measurements for each of the 3 angles shown

Answer 1

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

Answer 2

• 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 ]