Question

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

Answer 1

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.