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

Explanation: By the exterior angle theorem, an exterior angle (∠JKM) equals the sum of the two remote interior angles (∠KML and ∠MLK).