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Q.

Tell whether the following statement is true or false:

If any side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two opposite interior angles of the triangle.

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a

True

b

False

answer is A.

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Detailed Solution

Given a statement, if any side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two opposite interior angles of the triangle.
Exterior angle: If a triangle's side BC is created in order to create a ray BD, then ACD is known as the triangle ABC at C's exterior angle and is shown by ext. ACD. Question Image

Question Image

The exterior angle formed by an extended side of a triangle is equal to the sum of the triangle's two opposed interior angles. The external angle ACD thus generated is

∠ A C D = ∠ B A C + ∠ C B A

Given statement is true.
Hence, option 1 is correct.

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