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SOLUTION

In the diagram at the right, YW bisects XYZ , and m XYW = 18 . Find m XYZ. o. By the Angle Addition Postulate, m XYZ = m XYW + m WYZ . Because YW bisects XYZ you know that XYW WYZ.

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SOLUTION

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  1. In the diagram at the right, YWbisects XYZ, and mXYW = 18. Find m XYZ. o By the Angle Addition Postulate, m XYZ =mXYW + m WYZ. BecauseYW bisects XYZyou know thatXYW WYZ. So, m XYW = m WYZ, and you can write m XYZ = m XYW + m WYZ = 18° + 18° = 36°. ~ EXAMPLE 5 Double an angle measure SOLUTION

  2. ANSWER 90° for Example 5 GUIDED PRACTICE 7. Angle MNPis a straight angle, and NQbisects MNP. Draw MNP And NQ. Use arcs to mark the congruent angles in your diagram, and give the angle measures of these congruent angles.

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