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Please help me solve this eqaution

Please help me solve this eqaution-example-1

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By geometry, the pair of angles 40º and 140º are supplementary angles. (Correct choice: D).

Which pair of angles is supplementary?

Four pairs of angles are shown in the image aside, we must determine what pair represents a supplementary angles. Two angles are supplementary when measure of the two angles equals 180º. Now we proceed to check on each case:

Case A: 25º, 65º

θ = 25º + 65º

θ = 90º

Case B: 50º, 50º

θ = 50º + 50º

θ = 100º

Case C: 125º, 65º

θ = 125º + 65º

θ = 190º

Case D: 40º, 140º

θ = 40º + 140º

θ = 180º

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