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A triangle can be drawn with angle measures of \( 60^{\circ}, 60^{\circ} \) and \( 70^{\circ} \) (A) true B false

Ask by Byrd Spencer. in the United States
Jan 24,2025

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Answer

A triangle with angles \(60^{\circ}, 60^{\circ},\) and \(70^{\circ}\) **cannot** be drawn because the sum of the angles exceeds 180 degrees. **Answer:** B) false

Solution

**Answer:** B) false **Explanation:** In any triangle, the sum of the interior angles must always equal **180 degrees**. Let's add up the given angles: - \( 60^{\circ} + 60^{\circ} + 70^{\circ} = 190^{\circ} \) Since **190 degrees** exceeds the required **180 degrees**, a triangle with these angle measures **cannot** exist.

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A triangle cannot have angle measures of \( 60^{\circ}, 60^{\circ}, \) and \( 70^{\circ} \). The sum of the angles in any triangle must always equal \( 180^{\circ} \). In this case, \( 60^{\circ} + 60^{\circ} + 70^{\circ} = 190^{\circ} \), which exceeds \( 180^{\circ} \). So, the statement is false. Triangles with angles that add up to \( 180^{\circ} \) can be categorized into three types: acute, right, or obtuse. Each type offers unique properties and applications in geometry, making them essential for various mathematical and real-world scenarios, such as architecture, engineering, and design. Understanding these classifications helps in recognizing triangle behavior under different conditions.

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