Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.
Which statement regarding the diagram is true?

m∠MKL + m∠MLK = m∠JKM
m∠KML + m∠MLK = m∠JKM
m∠MKL + m∠MLK = 180°
m∠JKM + m∠MLK = 180°

m∠KML + m∠MLK = m∠JKM

Step-by-step explanation:

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

In this problem

m∠JKM ----> is an exterior angle

m∠KML and m∠MLK are the opposite interior angles to m∠JKM

see the attached figure

therefore

m∠KML + m∠MLK = m∠JKM