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9. two angles are supplementary. one angle measures 92°. find the other…

Question

  1. two angles are supplementary. one angle measures 92°. find the other angle. type a response

Explanation:

Step1: Recall supplementary angles definition

Supplementary angles sum to \(180^\circ\). Let the unknown angle be \(x\). So, \(92^\circ + x = 180^\circ\).

Step2: Solve for \(x\)

Subtract \(92^\circ\) from both sides: \(x = 180^\circ - 92^\circ\). Calculate the right - hand side: \(180 - 92 = 88\). So \(x = 88^\circ\).

Answer:

\(88^\circ\)