Answer:
In this context:
[tex]\boxed{m\angle C=47^{\circ}}[/tex]
Explanation:
Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll asume the triangle shown below. From the statement angle C is acute. Remember that an acute angle is an angle that measures less than 90 degrees. Also, remember that the internal angles of any triangle add up to 180 degrees. Then:
[tex]m\angle A+m\angle B+m\angle C=180^{\circ} \\ \\ \\ But: \\ \\ m\angle A=110^{\circ} \\ \\ m\angle B=23^{\circ} \\ \\ \\ Substituting \ values: \\ \\ 110^{\circ} +23^{\circ}+m\angle C=180^{\circ} \\ \\ \\ Isolating \ m\angle C: \\ \\ m\angle C=180^{\circ}-(110^{\circ} +23^{\circ}) \\ \\ m\angle C=180^{\circ}-(133^{\circ}) \\ \\ \boxed{m\angle C=47^{\circ}}[/tex]
