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An angle measures 50° more than the measure of its supplementary angle. What is the measure of each angle?

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Final answer:

An angle measures 50° more than the measure of its supplementary angle. However, there are no angles that satisfy this condition.

Step-by-step explanation:

An angle measures 50° more than the measure of its supplementary angle.

To solve for the measure of each angle, we can set up an equation:

Let x be the measure of the angle, and let y be its supplementary angle.

Since the sum of the measures of two supplementary angles is 180°, we can write the equation:

x = y + 50°

Substituting y + 50° for x in the equation, we get:

y + 50° = y

Subtracting y from both sides, we get:

50° = 0

Since there is no solution to this equation, it means that there are no angles that satisfy the given condition.

User Agnaldo Marinho
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