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What is the numerical sum of the degree measures of ∠DEA and ∠AEB? What are the numerical measures of the angles?

Given:
- \(x =\)
- \(m∠DEA = \)
- \(m∠AEB = \)

Answer :

Final answer:

The angle measures ∠DEA and ∠AEB are supplementary. If ∠DEA measures 'x' degrees, ∠AEB would be '180-x' degrees. For a specific value of 'x', simply subtract it from 180 to get the measure of ∠AEB.

Explanation:

The subjects of your question are lines and angles, specifically angle measures in a geometric diagram. To comprehend the numerical measures of the angles, we must first remember that supplementary angles (two angles that add up to 180 degrees) are present when two lines intersect. Thus, if ∠DEA and ∠AEB are supplementary angles in this diagram, the sum of their degree measures would be 180°.

For instance, if the measure of ∠DEA is x degrees, then the measure of ∠AEB would be 180 - x degrees, as they must sum up to form a straight angle (180°). The ‛numerical measures’ then, are ‛x’ for ∠DEA and ‛180-x’ for ∠AEB.

The specific numerical measures can vary depending on the value of x. For example, if the value of x from the problem is 60, then ∠DEA = 60°, and ∠AEB = 180 - 60 = 120°.

Learn more about Numerical Measures Of Angles here:

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