Asked by Sam
Find the value of x, y, and z in the parallelogram below. x (4y+5)°, y (-8z-7)°, z (3x-8)°
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GPT-5 mini
AI
I don’t have the diagram, so I’m not sure which angles are opposite/adjacent. Could you either paste the picture or say which vertex each of x, y, z is at (for example “x and z are opposite; y is adjacent to x”), so I know which geometry relations to use?
To show why I need the diagram: the text “x (4y+5)°, y (-8z-7)°, z (3x-8)°” I read as the three angle measures
x = 4y + 5,
y = −8z − 7,
z = 3x − 8.
In a parallelogram opposite angles are equal and adjacent angles are supplementary, but which variables are opposite depends on the picture. If x, y, z are three consecutive vertices then x and z are opposite and you must have x = z and x + y = 180; substituting those into the three algebraic relations leads to a contradiction (no solution), so that interpretation cannot be right. If you tell me which angles are opposite/adjacent I will set up the correct equations and solve.
To show why I need the diagram: the text “x (4y+5)°, y (-8z-7)°, z (3x-8)°” I read as the three angle measures
x = 4y + 5,
y = −8z − 7,
z = 3x − 8.
In a parallelogram opposite angles are equal and adjacent angles are supplementary, but which variables are opposite depends on the picture. If x, y, z are three consecutive vertices then x and z are opposite and you must have x = z and x + y = 180; substituting those into the three algebraic relations leads to a contradiction (no solution), so that interpretation cannot be right. If you tell me which angles are opposite/adjacent I will set up the correct equations and solve.
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