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What is the measure of ∠KMN?A. 29 degreesB. 66 degreesC. 53 degreesD. 89 degrees

What is the measure of ∠KMN?A. 29 degreesB. 66 degreesC. 53 degreesD. 89 degrees-example-1
User Rafael Delboni
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1 Answer

12 votes
12 votes

Since interior angles of a triangle add up to 180 degree, we get


\angle KMN+\angle KNM+\angle NKM=180

since angle NKM =39 and angle KNM = 75, we have


\angle KMN+75+39=180

which gives


\begin{gathered} \angle KMN+114=180 \\ \angle KMN=180-114 \\ \angle KMN=66 \end{gathered}

therefore, the answer is option B.

User Hruske
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