Arc Measure 92F719

1. **Problem Statement:** We need to find the measure of the arc $mACB$ in a circle where a central angle of $146^\circ$ and a right angle ($90^\circ$) are given. 2. **Understanding the problem:** The arc $mACB$ is formed by points $A$, $C$, and $B$ on the circle. The central angle corresponding to arc $mACB$ is the sum of the given angles around the center. 3. **Formula:** The measure of an arc intercepted by a central angle is equal to the measure of that central angle. 4. **Given:** One central angle is $146^\circ$ and another right angle is $90^\circ$. 5. **Calculate the measure of arc $mACB$:** $$mACB = 146^\circ + 90^\circ = 236^\circ$$ 6. **Conclusion:** The measure of the arc $mACB$ is $236^\circ$.