Question

Given that x + y = 180, p + q = 180, and p = x. Show that y = q.

Which step would be used to prove the argument?
A) x + p = 180
B) x + y = p + q
C) y + q = 180
D) 2x + 2y = 180

Answer 1

B

Explanation:

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Answer 2

x + y = 180
p + q = 180
p = x
Show that y = q

x = 180 - y
p = 180 - q

p = x
180 - q = 180 - y
-q = 180 - y - 180
-q = -y
-q/-1 = -y/-1
q = y OR y = q

x + y = p + q CHOICE B.
180 - y + y = 180 - q + q
180 = 180