Figure ABCD is a parallelogram. What is the product of xy?
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Answer:
A) 2695.
Step-by-step explanation:
Opposite angels of a parallelogram are equal.
Also (x - y) = 42 (interior alternate angles)
So we have the system of equations:
x + y = 112
x - y = 42 Adding the 2 equations:
2x = 154
x = 77.
Plug x = 77 in the first equation:
77 + y = 112
y = 112 - 77 = 35.
and
xy = 77 * 35 = 2695.