The problem asks to find the measure of the major arc MDN of the given circle, where the central angle MON is $67^\circ$.

1. Problem Description

The problem asks to find the measure of the major arc MDN of the given circle, where the central angle MON is $67^\circ$.

2. Solution Steps

The measure of a full circle is $360^\circ$. The measure of the minor arc MN is equal to the measure of the central angle MON, which is given as $67^\circ$. The major arc MDN is the remaining portion of the circle. Therefore, the measure of arc MDN is the difference between the full circle and the minor arc MN.

Measure of arc MDN = $360^\circ$ - Measure of arc MN

Measure of arc MDN = $360^\circ - 67^\circ$

Measure of arc MDN = $293^\circ$

3. Final Answer

The measure of arc MDN is $293^\circ$.