9
lesson pretestMultiple Choice

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Question 9 • Mathematics II

LMNO is a parallelogram, with angle cap m is equal to 11 x degrees and angle cap n is equal to open paren 6 x minus 7 close paren degrees Which statements are true about parallelogram LMNO ? Choose three correct answers.

Answer
A
m angle cap n is equal to 59 degrees
B
x is equal to 11
C
m angle cap m is equal to 111 degrees
D
m angle cap l is equal to 22 degrees
E
m angle cap o is equal to 121 degrees

Explanation

Adjacent angles in a parallelogram are supplementary, so 11x + (6x − 7) = 180. Solving gives 17x = 187, so x = 11; therefore angle M = 121° and angle N = 59°. Opposite angles are equal, so angle O = 121° as well. Thus the true statements are that angle O is 121°, x is 11, and angle N is 59°; angle L is 59°, not 22°, and angle M is 121°, not 111°.

AI-written and checked against the verified answer.

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