Question

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°

Answer 1

m∠KML +m∠MLK = m∠JKM is true

Explanation:

m∠KML +m∠MLK = m∠JKM

Thereon that back it up:

Exterior angle m∠JKM is equal to the sum of the opposite interior angles m∠KML and m∠MLK, the exterior angle follows that it must be larger than either of the opposite interior angles.

Answer 2

m∠KML + m∠MLK = m∠JKM

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