In the figure, find the measure of the angles x, y and z.
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Answer:
x=114, y=66, z=58
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<A+<B+<C= 180° (angle sum property)
44°+22°+x= 180
66°+x= 180°
x= 180°-66°
x= 114°
<x+<y = 180° (linear pair)
114°+y= 180°
y= 180°-114°
y= 66°
<y+<Z+<D= 180° (angle sum property)
66°+Z+56°= 180°
122+Z = 180°
Z = 180°-122
Z= 58°
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