https://file.aiquickdraw.com/mathbot/file/1727214177471gn0o8hxy.jpg

To solve for the measure of angle ∠SRW in the given diagram, let's analyze the relationships between the angles.

1. We are given that the angle ∠TRV is 95°.
2. The lines form vertical and supplementary angles.

Since ∠TRV and ∠SRW form a straight line and are supplementary (they add up to 180°), we can find ∠SRW by subtracting the given angle from 180°.

\[
\text{∠SRW} = 180° - 95° = 85°
\]

Thus, ∠SRW = 85°.

Let me know if you'd like more details or have any questions.

Here are five related questions to explore this topic further:
1. What is the measure of ∠TRS?
2. How are vertical angles related in terms of equality?
3. What are supplementary angles, and why do they sum up to 180°?
4. What is the relationship between angles formed by intersecting lines?
5. Can you define adjacent angles and how they apply here?

**Tip:** Always look for straight lines or intersecting lines to identify supplementary or vertical angles, which makes solving for unknown angles much easier.

Learn how to solve for the measure of angle ∠SRW by using the concept of supplementary angles. This problem involves identifying relationships between angles and applying the supplementary angle theorem to find the correct measure of ∠SRW as 85°. Suitable for students in Grades 6-8.

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