Question
6.1.2 Exam: Semester 2 Exam Question 9 of 40 Which negative angle is equivalent to \( 265^{\circ} \) ? \[ \begin{array}{l}\text { A. }-95^{\circ} \\ \text { B. }-65^{\circ} \\ \text { C. }-75^{\circ} \\ \text { D. }-85^{\circ}\end{array} \]
Ask by King Welch. in the United States
Jan 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The negative angle equivalent to \( 265^{\circ} \) is \(-95^{\circ}\).
Solution
To find a negative angle equivalent to \( 265^{\circ} \), we can subtract \( 360^{\circ} \) (a full rotation) from \( 265^{\circ} \):
\[
265^{\circ} - 360^{\circ} = -95^{\circ}
\]
Thus, the negative angle equivalent to \( 265^{\circ} \) is:
**A. \(-95^{\circ}\)**
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Simplify this solution Mind Expander
To find the negative angle equivalent to \( 265^{\circ} \), you can subtract \( 360^{\circ} \) from \( 265^{\circ} \). Doing the math: \( 265^{\circ} - 360^{\circ} = -95^{\circ} \). So, the answer is \( -95^{\circ} \), which corresponds to option A! Angles can be quite fun! In the world of trigonometry, they're not just numbers; they shape how we understand rotation and direction. Think of it like a compass: \( 0^{\circ} \) points north, \( 90^{\circ} \) east, and so on. Each negative angle sweeps clockwise, providing a different view of the same point in a circular path, demonstrating how angles can be both stylish and functional!
