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14. if one angle of a supplementary pair is 130 degrees, what is the me…

Question

  1. if one angle of a supplementary pair is 130 degrees, what is the measure of the other angle? 60° 30° 40° 50°

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles sum to \(180^{\circ}\). Let the unknown angle be \(x\).

Step2: Set up the equation

\(x + 130^{\circ}=180^{\circ}\)

Step3: Solve for \(x\)

\(x=180^{\circ}- 130^{\circ}\)
\(x = 50^{\circ}\)

Answer:

\(50^{\circ}\) (the fourth option)