We have following associations:
- m ∠ADC + m ∠CDB = 180° → Definition of linear pair
- ∠ADC is supplementary to ∠CDB → Definition of supplementary angles
- 2 · m ∠BDC = 180° → Substitution property of equality
- m ∠BDC = 90° → Division property of equality
How to complete the proof of a geometric theorem
In this question we need to fill the blanks of a given proof by understanding and taking advantage of the most important axioms and theorems of Euclidean geometry and real algebra. In this case, a linear pair is the combination of two angles whose sum equals 180°, and those angles are always supplementary.
Thus, we have following associations:
- m ∠ADC + m ∠CDB = 180° → Definition of linear pair
- ∠ADC is supplementary to ∠CDB → Definition of supplementary angles
- 2 · m ∠BDC = 180° → Substitution property of equality
- m ∠BDC = 90° → Division property of equality
To learn more on Euclidean theorem: https://brainly.com/question/13104788
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