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Question: 1 / 400

How many degrees are in the angles of a triangle?

90 degrees

180 degrees

A triangle is defined as a geometric figure with three sides and three angles. One of the foundational properties of triangles in Euclidean geometry is that the sum of the interior angles always equals 180 degrees. This means that irrespective of the type of triangle—whether it is scalene, isosceles, or equilateral—the total measure of its internal angles will always add up to 180 degrees.

This property is significant because it provides a basis for various geometric calculations and theorems. For example, if one angle measures 60 degrees and another measures 70 degrees in a triangle, the third angle can be determined by subtracting the sum of the known angles from 180 degrees, thus confirming this fundamental rule.

Other options do not apply to the angles of a triangle. For instance, 90 degrees corresponds to the measure of a right angle but does not represent the total angle sum. Likewise, 270 degrees and 360 degrees are measures related to circles, where 360 degrees represents a full rotation, and 270 degrees indicates three-quarters of a rotation, neither of which pertain to the angle sum of a triangle.

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270 degrees

360 degrees

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