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if ∠n and ∠c are supplementary and m∠n = 122°, solve for m∠c. draw show…

Question

if ∠n and ∠c are supplementary and m∠n = 122°, solve for m∠c. draw show your work here m∠c =

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. So, \(m\angle n+m\angle c = 180^{\circ}\).

Step2: Solve for \(m\angle c\)

Given \(m\angle n = 122^{\circ}\), then \(m\angle c=180^{\circ}-m\angle n\). Substitute \(m\angle n = 122^{\circ}\) into the equation: \(m\angle c = 180 - 122\).

Answer:

\(m\angle c = 58^{\circ}\)