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Solve for x in degrees. The figure is a parallelogram where one angle is x degrees and the consecutive angle is 70 degrees.

Mathematics

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Step-by-step solution

2 steps

Here are the solutions for finding the value of xx in degrees for each problem:

:
The figure is a parallelogram. In a parallelogram, consecutive angles are supplementary.

  1. Set up the equation for consecutive angles.

    x∘+70∘=180∘x^\circ + 70^\circ = 180^\circ
  2. Solve for xx.

    x∘=180∘−70∘x^\circ = 180^\circ - 70^\circ x∘=110∘x^\circ = 110^\circ

    The other pair of consecutive angles also confirms this: $(x-40)^\circ + 110^\circ = 180^\circ \implies x-4

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