Question

check for understanding
do you remember how to solve problems about unknown angles in figures? review with
lines \overleftrightarrow{ac} and \overleftrightarrow{db} intersect at point w. also, $m\angle dwc = 138^\circ$
enter the angle measure for each of the 3 angles shown.

Explanation:

Step1: Find adjacent angle to $\angle DWC$

Adjacent angles are supplementary.
$m\angle DWA = 180^\circ - 138^\circ = 42^\circ$

Step2: Find vertical angle to $\angle DWC$

Vertical angles are congruent.
$m\angle AWB = 138^\circ$

Step3: Find vertical angle to $\angle DWA$

Vertical angles are congruent.
$m\angle BWC = 42^\circ$

Answer:

• Angle $\angle AWB$: $138^\circ$
• Angle $\angle DWA$: $42^\circ$
• Angle $\angle BWC$: $42^\circ$