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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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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°.

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EXAMPLE 4

Identify congruent angles

Trapeze


Use the diagram shown below. formed by the ropes in a trapeze apparatus. Identify the congruent angles. If

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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.


Use the diagram shown at the right. formed by the ropes in a trapeze apparatus. Identify the congruent angles. If

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o

6. In the diagram, mPQR = 130 , mQRS = 84, and m TSR = 121 . Find the other angle measures in the diagram.

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PTS TSR

= 121°

= 84°

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QRS

QPT

for Example 4

GUIDED PRACTICE

SOLUTION

Congruent angles

Congruent angles


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