Is it possible to construct a triangle with angles: 115°, 45° and 60°?
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Answer:
It is not possible to construct a triangle with these angles because the sum of the angle should not be more or less than 180°.
Here, (115+45+60)° = 220°
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Its not possible to construct a triangle with angles 115°, 45° and 60° as Sum of the measures of the given 3 angles is not 180°
Given:
- Measures of Three angles
- 115°, 45° and 60°
To Find:
- Is it possible to construct a triangle with given angles ?
Solution:
- Triangle is a polygon with 3 sides
- Sum of the Measures of angles of a triangle is 180°
Step 1:
Calculate the sum of the measures of the given angles:
115° + 45° + 60° = 220°
Step 2:
Compare that Sum of the measures of the angles is 180° or not
220° ≠ 180°
As Sum of the measures of the given 3 angles is not 180° hence its not possible to construct a triangle.
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