Question

in circle l with the measure of arc \\( \overarc{k m}=78^{\circ} \\), find \\( m \angle k l m \\).

Explanation:

Step1: Recall the central - angle theorem

The measure of a central angle is equal to the measure of its intercepted arc. In circle \(L\), \(\angle KLM\) is a central angle and \(\overset{\frown}{KM}\) is its intercepted arc.

Step2: Apply the theorem

Given that \(m\overset{\frown}{KM} = 78^{\circ}\), by the central - angle theorem \(m\angle KLM=m\overset{\frown}{KM}\)

Answer:

\(78^{\circ}\)