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Examples: Angle Sum Property of Triangle Video Lecture - Class 7
FAQs on Examples: Angle Sum Property of Triangle Video Lecture - Class 7
| 1. What is the angle sum property of a triangle? |  |
Ans. The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.
| 2. How can I use the angle sum property to find the measure of an unknown angle in a triangle? | |
Ans. To find the measure of an unknown angle in a triangle, you can use the angle sum property. First, identify the known angles in the triangle. Then, subtract the sum of the known angles from 180 degrees to find the measure of the unknown angle. For example, if the known angles are 60 degrees and 90 degrees, the measure of the unknown angle would be 180 - (60 + 90) = 30 degrees.
| 3. Can the angle sum property be applied to any polygon? | |
Ans. No, the angle sum property is specific to triangles only. The sum of the interior angles of any polygon can be found using the formula (n - 2) * 180 degrees, where n represents the number of sides of the polygon. For example, a hexagon has six sides, so the sum of its interior angles would be (6 - 2) * 180 = 720 degrees.
| 4. Is it possible for a triangle to have an angle greater than 90 degrees? | |
Ans. No, a triangle cannot have an angle greater than 90 degrees. In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if one angle is greater than 90 degrees, the sum of the other two angles would be less than 90 degrees, which contradicts the angle sum property.
| 5. Can two triangles have the same measures for all three angles but still be different? | |
Ans. No, if two triangles have the same measures for all three angles, they are considered congruent triangles. Congruent triangles have identical side lengths and angle measures, making them exactly the same in shape and size. Therefore, two triangles with the same angle measures would be identical and not different.
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Dec 17, 2024 Last updated |
Examples: Angle Sum Property of Triangle for Class 72024 is part of Class 7 preparation. The notes and questions for Examples: Angle Sum Property of Triangle
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