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Find the values of the variables in the parallelogram. The diagram is not to scale.

Find the values of the variables in the parallelogram. The diagram is not to scale.
asked 118k views
20 votes
Find the values of the variables in the parallelogram. The diagram is not to scale.

Find the values of the variables in the parallelogram. The diagram is not to scale-example-1
asked
User Tommy Bjerregaard
by
8.2k points

1 Answer

8 votes

Answer:

  • Option C

Explanation:

  • x = 36° as alternate interior angles are congruent
  • z = 110° as opposite angles of parallelogram are congruent
  • x + y + 110° = 180° as adjacent angles of parallelogram are supplementary
  • y = 180° - 110° - 36° = 34°

Correct choice is C

answered
User C Blanchard
by
8.5k points
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