2012 · Q61
In a triangle ABC, (1/2)angle A + (1/3)angle C + (1/2)angle B = 80 degrees, then what is angle C equal to?
Elementary MathematicsGeometry
- A35 degrees
- B40 degrees
- C60 degrees
- D70 degrees
Explanation
(A+B)/2 + C/3 = 80 with A+B = 180-C gives 90-C/6 = 80, so C = 60 degrees.