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It is given that angle XYZ is 64.
angle XYZ + angle ZYQ + angle PYQ = 180 (linear pair)
angle ZYQ and angle PYQ BE = x
64 + x + x =180
2x= 180-64
2x = 116
x = 58
Therefore angle ZYQ and angle PYQ = 58
angle XYQ=XYZ +ZYQ
ANGLE XYQ = 64 +58
=122
And reflex of QYP=360-58
=302
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