Final answer:
To determine m∠VRU and m∠URW with the given information, we need to make assumptions based on angle relationships; assuming ∠SRW and ∠VRU are vertical angles and ∠SRW and ∠URW are supplementary, the answer would be (C) m∠VRU = 85, m∠URW = 95.
Step-by-step explanation:
The question asks to find the measures of ∠VRU and ∠URW given that m∠SRW = 85 degrees. Without additional information about the relationships between the mentioned angles, such as them being supplementary, complementary, vertical angles, or part of a polygon, we cannot determine the exact values of m∠VRU and m∠URW. However, if ∠SRW and ∠VRU are vertical angles, they would be congruent, meaning m∠VRU would also be 85 degrees. Similarly, if ∠SRW and ∠URW are on a straight line making them supplementary angles, then m∠URW would be 180 - 85 = 95 degrees since supplementary angles add up to 180 degrees. Hence, in such a scenario, Answer (C) m∠VRU = 85, m∠URW = 95 would be correct.