Answer:
C. [tex]70^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a triangle and we re asked to find the measure of angle C.
Angle sum property of triangles states that all angles of a triangle add up-to 180 degrees, so we can set an equation as:
[tex]m\angle A+m\angle B+m\angle C=180^{\circ}[/tex]
Upon substituting the given measure of angle A and B in our equation we will get,
[tex]70^{\circ}+40^{\circ}+m\angle C=180^{\circ}[/tex]
[tex]110^{\circ}+m\angle C=180^{\circ}[/tex]
[tex]110^{\circ}-110^{\circ}+m\angle C=180^{\circ}-110^{\circ}[/tex]
[tex]m\angle C=70^{\circ}[/tex]
Therefore, the measure of angle C is 70 degrees and option C is the correct choice.
