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   if in Triangle KML Line LK extends through point J to form exterior angle J K M

Step-by-step explanation:

LJ is straight line and k is a point on this

=> m∠MKL  + m∠JKM  = 180°

in Δ KML

=> m∠MKL + m∠KML + m∠MLK = 180°

Equating both

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

Cancelling m∠MKL  from both sides

=>  m∠JKM  =  m∠KML + m∠MLK

Hence

m∠JKM  =  m∠KML + m∠MLK  is True

Learn More :

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Answer 2

Answer:

Step-by-step explanation: