QQuestionMathematics
QuestionMathematics
By the congruent supplements theorem, what can you conclude?
A. ∠CBG≅∠DBG
B. ∠FBC≅∠DBG
C. ∠CBG is supplementary to ∠DBF
D. ∠FBC is supplementary to ∠DBG
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Answer
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Step 1Let me solve this step by step using the congruent supplements theorem.
Step 2: Understand the Congruent Supplements Theorem
The congruent supplements theorem states that if two angles are supplementary to the same angle, then those two angles are congruent.
Final Answer
The key is recognizing that the congruent supplements theorem requires the two angles to be supplementary to the same third angle, which is satisfied by option D.
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