Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for m∠kln if m∠klm = 114° and m∠nlm = 55°. answer attempt 1 out o…

Question

solve for m∠kln if m∠klm = 114° and m∠nlm = 55°. answer attempt 1 out of a m∠kln = ° submit answer

Explanation:

Step1: Identify angle relationship

We know that \( m\angle KLM = m\angle KLN + m\angle NLM \) (angle addition postulate).

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

Rearrange the formula: \( m\angle KLN = m\angle KLM - m\angle NLM \).
Substitute the given values: \( m\angle KLM = 114^\circ \), \( m\angle NLM = 55^\circ \).
So, \( m\angle KLN = 114^\circ - 55^\circ \).
Calculate the result: \( 114 - 55 = 59 \).

Answer:

\( 59 \)