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EXAMPLE 4

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.

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EXAMPLE 4

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  1. 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 Trapeze

  2. Use the diagram shown below. ~ ~ T S andPQ. for Example 4 GUIDED PRACTICE 5. Identify all pairs of congruent angles in the diagram. SOLUTION There are two pairs of Congruent angles in the diagram.

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

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