Question

1. ( moverarc{lmn} = )

*point o is the center
circle with center o, points l, m, n on circumference. ol and on are radii with angle 124° between them, m is on the opposite arc from the 124° angle

Explanation:

Step1: Recall the total degrees in a circle

A full - circle has \(360^{\circ}\).

Step2: Calculate the measure of arc \(LMN\)

We know that the measure of the central angle \(\angle LON = 124^{\circ}\). The measure of the major arc \(m\overarc{LMN}\) is given by \(m\overarc{LMN}=360^{\circ}-\angle LON\).
Substitute \(\angle LON = 124^{\circ}\) into the formula: \(m\overarc{LMN}=360^{\circ}- 124^{\circ}\)

$$m\overarc{LMN}=236^{\circ}$$

Answer:

\(236^{\circ}\)