# EXAMPLE 4 - PowerPoint PPT Presentation

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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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EXAMPLE 4

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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.

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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.

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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