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Trapeze Angles: Congruent Angles and Measurements

Learn how to identify and calculate congruent angles in a trapeze apparatus using given angle measures. Practice problems included.

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Trapeze Angles: Congruent Angles and Measurements

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  1. Trapeze The photograph shows some of the angles formed by the ropes in a trapeze apparatus. Identify the congruent angles. If m DEG = 157° ,what is m GKL? SOLUTION There are two pairs of congruent angles: DEF JKL and DEG GKL. Because ∠ DEG GKL, DEG = mGKL. So, mGKL = 157°. ~ ~ ~ EXAMPLE 4 Identify congruent angles

  2. Use the diagram shown. ANSWER T and S, P and R. for Example 4 GUIDED PRACTICE 5. Identify all pairs of congruent angles in the diagram.

  3. Use the diagram shown. o o 6. In the diagram, mPQR = 130 , mQRS = 84, and m TSR = 121 . Find the other angle measures in the diagram. o m PTS = 121°, m QPT = 84° ANSWER for Example 4 GUIDED PRACTICE

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