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EXAMPLE 1

In the diagram, P Q , FG JK , and mJK = 80 o . Find mFG. Because FG and JK are congruent chords in congruent circles, the corresponding minor arcs FG and JK are congruent. So , mFG = mJK = 80 o. EXAMPLE 1. Use congruent chords to find an arc measure. SOLUTION.

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EXAMPLE 1

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  1. In the diagram, PQ, FGJK, and mJK= 80o. Find mFG Because FGand JKare congruent chords in congruent circles, the corresponding minor arcs FGand JKare congruent. So, mFG = mJK = 80o. EXAMPLE 1 Use congruent chords to find an arc measure SOLUTION

  2. Use the diagram of D. ANSWER 1. If mAB= 110°, find mBC mBC = 110° for Example 1 GUIDED PRACTICE

  3. Use the diagram of D. ANSWER 2. If mAC = 150°, find mAB mAB = 105° for Example 1 GUIDED PRACTICE

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