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The sum of the interior angles of a triangle is always equal to?
A. 90 degrees
B. 180 degrees
C. 270 degrees
D. 360 degrees
Correct Answer Is Option = 180 degrees
Notes / Explanation
The sum of the interior angles of a triangle is always equal to one hundred and eighty degrees, and this is one of the most fundamental and useful facts in the branch of mathematics that deals with shapes and figures, known as geometry. A triangle is a flat shape that has three straight sides and three corners, and at each corner there is an angle, which is a measure of the amount of turning between the two sides that meet at that corner. Angles are measured in units called degrees. The remarkable and important fact about triangles is that, no matter what the shape or size of the triangle, when the three interior angles are added together, the total always comes to exactly one hundred and eighty degrees. This is true whether the triangle is large or small, whether it is tall and narrow or short and wide, and whether its angles are all similar or very different from one another, so that this rule applies to every possible triangle. This fact is extremely useful because it allows the size of an unknown angle in a triangle to be worked out when the other two angles are known, simply by adding the two known angles together and subtracting the total from one hundred and eighty degrees, which gives the size of the third angle. This makes it possible to solve many problems involving triangles. The rule also helps in understanding the different kinds of triangles. For example, in a triangle in which one of the angles is a right angle, that is an angle of ninety degrees, the other two angles must add up to the remaining ninety degrees. In a triangle in which all three sides and all three angles are equal, each of the three angles must be sixty degrees, since the three equal angles together must make one hundred and eighty degrees. The fact about the angles of a triangle is one of the basic building blocks of geometry, and it is used in many further results and in a wide range of practical applications, including construction, design, navigation and surveying. For PPSC and other competitive examinations, the key points to remember are that the sum of the interior angles of a triangle is always one hundred and eighty degrees, that this is true for every triangle regardless of its shape or size, that this rule can be used to find an unknown angle when the other two are known, and that in an equal-sided triangle each angle is sixty degrees.