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Question 10 of 10 Which of the following are examples of acute angles? Choose all that appll. \( \square \begin{array}{l}\square \text { A. The sharpened tip of a pencil } \\ \square \text { B. The comer of a sheet of paper } \\ \square \text { C. A pair of scissors opened as wide as it can go } \\ \square \text { D. The pointed end of a knife } \\ \square \text { E. The edge of a window }\end{array} \)

Ask by Christensen Phillips. in the United States
Feb 03,2025

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Answer

The examples of acute angles are A (the sharpened tip of a pencil) and D (the pointed end of a knife).

Solution

To determine which of the options represent **acute angles** (angles less than 90 degrees), let's analyze each one: - **A. The sharpened tip of a pencil** - **Acute Angle:** The sharpened tip forms a pointed angle, typically less than 90 degrees. - **B. The corner of a sheet of paper** - **Not Acute:** Standard paper corners are right angles (90 degrees). - **C. A pair of scissors opened as wide as it can go** - **Not Acute:** When fully opened, scissors form an angle greater than 90 degrees (obtuse angle). - **D. The pointed end of a knife** - **Acute Angle:** Similar to the pencil, the pointed end of a knife forms an angle less than 90 degrees. - **E. The edge of a window** - **Not Acute:** Window edges are typically right angles (90 degrees). **Therefore, the examples of acute angles are:** - **A. The sharpened tip of a pencil** - **D. The pointed end of a knife** **Answer:** A and D

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Acute angles are those that measure less than 90 degrees, often characterized by their sharpness and pointy nature. For example, the sharpened tip of a pencil and the pointed end of a knife both form acute angles because they meet at a point that angles inwards, demonstrating that acute angles can be found in everyday objects! In real-world applications, recognizing acute angles around us can help in various fields like design, architecture, and even sports. For instance, the design of a pair of scissors showcases acute angles when they are partially opened, allowing them to effectively cut through materials. Understanding these angles is essential in optimizing functionality and aesthetics in everyday tools and objects!

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