High School

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

Answer :

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

[tex]\angle KMN+\angle KNM+\angle NKM=180[/tex]

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

[tex]\angle KMN+75+39=180[/tex]

which gives

[tex]\begin{gathered} \angle KMN+114=180 \\ \angle KMN=180-114 \\ \angle KMN=66 \end{gathered}[/tex]

therefore, the answer is option B.

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