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Angle x and angle y are supplementary angles. Angle y measures 97°. What is the measure of angle x?

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Final answer:

The measure of angle x is 83 degrees.

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180 degrees. In this case, angle y measures 97 degrees. Since angle x and angle y are supplementary, we can use the formula:

Angle x + Angle y = 180 degrees

Substituting the given value of angle y, we have:

Angle x + 97 degrees = 180 degrees

Now we can solve for angle x by subtracting 97 degrees from both sides of the equation:

Angle x = 180 degrees - 97 degrees

Angle x = 83 degrees

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