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Answer :
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Final answer:
The sum of the angles in a triangle is always 180 degrees.
Explanation:
Angles in a Triangle
In geometry, a triangle is a polygon with three sides and three angles. The sum of the angles in a triangle is always 180 degrees. This is known as the Triangle Sum Theorem. The theorem states that the sum of the measures of the interior angles of a triangle is always equal to 180 degrees.
Let's consider an example:
Suppose we have a triangle with angle A measuring 60 degrees, angle B measuring 40 degrees, and angle C measuring x degrees. According to the Triangle Sum Theorem, the sum of these angles must be equal to 180 degrees:
60 + 40 + x = 180
To find the value of x, we can solve the equation:
x = 180 - 60 - 40
x = 80
Therefore, angle C measures 80 degrees.
It is important to note that the Triangle Sum Theorem holds true for all triangles, regardless of their size or shape. Whether the triangle is equilateral, isosceles, or scalene, the sum of its interior angles will always be 180 degrees.
Learn more about angles in a triangle here:
https://brainly.com/question/32449658
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Final answer:
The sum of the angles in a triangle is always 180 degrees.
Explanation:
Angles in a Triangle
In geometry, a triangle is a polygon with three sides and three angles. The sum of the angles in a triangle is always 180 degrees. This is known as the Triangle Sum Theorem. The theorem states that the sum of the measures of the interior angles of a triangle is always equal to 180 degrees.
Let's consider an example:
Suppose we have a triangle with angle A measuring 60 degrees, angle B measuring 40 degrees, and angle C measuring x degrees. According to the Triangle Sum Theorem, the sum of these angles must be equal to 180 degrees:
60 + 40 + x = 180
To find the value of x, we can solve the equation:
x = 180 - 60 - 40
x = 80
Therefore, angle C measures 80 degrees.
It is important to note that the Triangle Sum Theorem holds true for all triangles, regardless of their size or shape. Whether the triangle is equilateral, isosceles, or scalene, the sum of its interior angles will always be 180 degrees.
Learn more about angles in a triangle here:
https://brainly.com/question/32449658
#SPJ14
