If the measure of angle MABD is 120 degrees, what is the measure of angle MADC?

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To analyze the relationship between the two angles MABD and MADC, we need to understand the configuration of these angles in the given figure.

First, let’s establish what we know:

  • The angle MABD is given as 120 degrees.
  • The angles are likely part of a geometric figure that involves intersecting lines or angles around a point.

Depending on the layout of the figure, there are various scenarios that could apply:

Scenario 1: MABD and MADC are Adjacent Angles

If angles MABD and MADC are adjacent angles that share the same vertex at point A, we can explore their relationship:

  • In this case, the sum of the angles around point A would ideally add up to 180 degrees.
  • This means: MABD + MADC = 180.
  • By substituting the known angle: 120 + MADC = 180.
  • Subtracting 120 from both sides gives us: MADC = 60 degrees.

Scenario 2: MABD and MADC are Vertically Opposite Angles

Alternatively, if they are vertically opposite angles (formed by two intersecting lines), they are equal. Hence:

  • Angle MABD would be equal to angle MADC.
  • Therefore: MADC = 120 degrees.

Conclusion

The measure of angle MADC can either be 60 degrees or 120 degrees depending on the geometric context provided by the figure. If further details about the position of the angles are available, we could refine the answer more accurately. However, based on typical angle relationships, these are the two possibilities you might encounter.

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