Question

solve for m∠klm if m∠kln = 66° and m∠nlm = 54°. answer attempt 1 out of 2 m∠klm = ° submit answer

Explanation:

Step1: Identify angle addition postulate

To find \( m\angle KLM \), we use the angle addition postulate, which states that if a point \( N \) lies in the interior of \( \angle KLM \), then \( m\angle KLM = m\angle KLN + m\angle NLM \).

Step2: Substitute the given values

We know that \( m\angle KLN = 66^\circ \) and \( m\angle NLM = 54^\circ \). Substituting these values into the formula, we get:
\( m\angle KLM = 66^\circ + 54^\circ \)

Step3: Calculate the sum

Adding the two angles together: \( 66 + 54 = 120 \). So, \( m\angle KLM = 120^\circ \).

Answer:

\( 120 \)