25
practice examMultiple Choice

Practice Exam

Question 25 • TPS EdX Geometry

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of open paren 6 n minus 70 close paren degrees and open paren 2 n plus 10 close paren degrees What are the two different angle measures of the parallelogram-shaped tile?

Answer
A
20 degrees and 160 degrees
B
50 degrees and 130 degrees
C
30 degrees and 150 degrees
D
70 degrees and 110 degrees

Explanation

Opposite angles in a parallelogram are equal, so set 6n − 70 equal to 2n + 10. Solving gives 4n = 80, so n = 20; substituting gives an angle of 50°. Adjacent angles in a parallelogram add to 180°, so the other angle is 180° − 50° = 130°. The two different angle measures are 50° and 130° (choice B).

AI-written and checked against the verified answer.

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