(consider a triangle with internal angles x, y and z)
Is the triangle equilateral?
(1) x = y
(2) z=60
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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1 comment:
Statement (1) cannot decide the question, even if we know that the sum of internal angles of any triangle is 180 degrees. In fact an equilateral will have all internal angles equal to 60. x=y still misses the value of angle z.
Statement (2) also cannot decide the issue by itself, because x might be different from y, still of their sum would be 120.
As suggested by the above said, the combination of statements (1) and (2) leads necessarily to x=y=z=60. We then conclude that the triangle must indeed be equilateral, leading to the correct answer (C).
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