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a)
a + b + c = 180
x + a = 180 (linear pair)
x = 180 - a
b + c = 180 - a
x = 180 - a = b + c
thus proved that x = b + c
b)
a + z + b = 180 (linear pair)
a = x
b = y
replacing x and y in place of a and b,
x + z + y = 180
thus proved
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