solution example 5 double an angle measure in the diagram at the right, yw bisects xyz, and m xyw =...
TRANSCRIPT
SOLUTION
EXAMPLE 5 Double an angle measure
In the diagram at the right, YW bisects XYZ, and m XYW = 18. Find m XYZ.
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By the Angle Addition Postulate, m XYZ = m XYW + m WYZ. Because YW bisects XYZ you know that XYW WYZ. ~
So, m XYW = m WYZ, and you can write
M XYZ = m XYW + m WYZ = 18° + 18° = 36°.
GUIDED PRACTICE for Example 5
7. Angle MNP is a straight angle, and NQ bisects MNP. Draw MNP And NQ . Use arcs to mark the congruent angles in your diagram, and give
the angle measures of these congruent angles.
SOLUTION
GUIDED PRACTICE for Example 5
The solution is = 90°m MNQ = m PNQ
m MNQ + m PNQ = 180°
m MNQ + m PNQ
m MNQ + m MNQ = 180°
m MNQ2 = 180°
m MNQ = 90°
Angle addition postulate
Straight angle
m MNQ = m PNQ
Add
Divided each side by 2