Two adjacent angles, ∠∠LMV and ∠,∠VMN, are shown in the diagram.Use the information about angle measures to determine the measure of ∠.∠LMN. Note: Figure may not be drawn to scalem∠=m∠LMN=  degrees*Hint: Part + Part = Whole
Since angles ∠LMV and ∠VMN are adjacent, their measures add up to the measure of angle ∠LMN.
So, m∠LMN = m∠LMV + m∠VMN
m∠LMN = 75° + 105°
m∠LMN = 180°
Therefore, the measure of angle ∠LMN is 180°.