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The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. What is the value of t? I. r = 140 II. s = 160

Option A:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Option B:

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

Option C:

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Option D:

EACH statement ALONE is sufficient to answer the question asked.

Option E:

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Option C is the correct answer.

Statement I is insufficient: r = 140. Not sufficient.

Statement II is insufficient: s = 160. Not sufficient. Together I and II, Consider the width of the roads to be 0 as shown below:

From the figure we have that r+s+t=360 degrees –> 140+160+t=360 –> t=60 degrees. Sufficient.

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