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1961 AHSME Problems/Problem 8

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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, C_1 and C_2, with C_2 adjacent to side a. Then:

(A) C_1+C_2=A+B

(B) C_1-C_2=B-A

(C) C_1-C_2=A-B

(D) C_1+C_2=B-A

(E) C_1-C_2=A+B

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