Problem: Let the two base angles of a triangle be A and B, with B larger than A. The altitude to the base divides the vertex angle C into two parts, C1​ and C2​, with C2​ adjacent to side a. Then:
Answer Choices:
A. C1​+C2​=A+B
B. C1​−C2​=B−A
C. C1​−C2​=A−B
D. C1​+C2​=B−A
E. C1​−C2​=A+B
Solution:
Since B+C2​=90∘ and A+C1​=90∘,B+C2​ =A+C1​∴C1​−C2​=B−A