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°
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°
Answers
GPT-4o mini
In triangle \( KML \), the exterior angle \( JKM \) is equal to the sum of the two non-adjacent interior angles, which are \( \angle MKL \) and \( \angle KML \). Therefore, the statement that is true regarding the diagram is:
\[ m∠KML + m∠MKL = m∠JKM. \]
This means the second option is correct, therefore:
**m∠KML + m∠MLK = m∠JKM** is true.
\[ m∠KML + m∠MKL = m∠JKM. \]
This means the second option is correct, therefore:
**m∠KML + m∠MLK = m∠JKM** is true.