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EXAMPLE 4 Identify congruent angles The photograph shows some of the angles formed by the ropes in a trapeze apparatus. Identify the congruent angles.

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Presentation on theme: "EXAMPLE 4 Identify congruent angles The photograph shows some of the angles formed by the ropes in a trapeze apparatus. Identify the congruent angles."— Presentation transcript:

1 EXAMPLE 4 Identify congruent angles 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? Trapeze SOLUTION There are two pairs of congruent angles: DEF JKL and DEG GKL. ~~ Because  DEG GKL, DEG = m GKL. So, m GKL = 157°. ~

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

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

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