Carcass wrote:
Attachment:
lines.jpg
Quantity A |
Quantity B |
\(z-x\) |
\(y\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Kudos for
R.A.ESince opposite angles are equal, we can see that the angle opposite x° is also
x° Also, since angles on a line add to 180°, the angle sharing a line with z° must equal
(180 - z)°Finally, since the angles in a triangle must add to 180°, we can write:
(180 - z)° +
x° +
y° = 180°
Simplify: 180 - z + x + y = 180
Subtract 180 from both sides to get: -z + x + y = 0
Add z to both sides to get: x + y = z
Subtract x from both sides to get: y = z - x
Since y = z - x, the correct answer is C
Cheers,
Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
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