Question

which statement regarding the figure is true?

m∠mkl + m∠mlk = m∠jkm

m∠kml + m∠mlk = m∠jkm

m∠jkm + m∠mlk = 180°

m∠mkl + m∠mlk = 180°

Explanation:

Step1: Recall the exterior - angle theorem

The exterior - angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In \(\triangle MKL\), \(\angle JKM\) is an exterior angle. The two non - adjacent interior angles are \(\angle MKL\) and \(\angle MLK\).

Step2: Apply the exterior - angle theorem

By the exterior - angle theorem, \(m\angle MKL + m\angle MLK=m\angle JKM\)

Answer:

\(m\angle MKL + m\angle MLK=m\angle JKM\)