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We conclude that:

Step-by-step explanation:

Given

m∠VWX = 139°

m∠YWZ = 23°

To determine

m∠XWY = ?

We know the measure of the angle of a straight is 180°.

As m∠VWX and m∠XWY lie on a straight line.

Thus, the sum of m∠VWX and m∠XWY must be 180°

so we get the equation

m∠VWX + m∠XWY =  180°

Given that m∠VWX = 139°

so substituting m∠VWX = 139° in the equation m∠VWX + m∠XWY =  180°

139° + m∠XWY = 180°

m∠XWY = 180° - 139°

m∠XWY = 41°

Therefore, we conclude that:

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step-by-step explanation: