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If one angle of a triangle is equal to the sum of the other two angles, then the triangle must be

Solution

✅ Correct Option: 4

Let the three angles of the triangle be AA, BB, and CC.

Given: A=B+CA = B + C


In any triangle, the sum of all angles is 180°180°:

A+B+C=180°A + B + C = 180°


(B+C)+B+C=180°(B + C) + B + C = 180°

2B+2C=180°2B + 2C = 180°

2(B+C)=180°2(B + C) = 180°

B+C=90°B + C = 90°


Since A=B+CA = B + C:

A=90°A = 90°


A triangle with one angle equal to 90°90° is a right triangle.

Therefore, the triangle must be a RIGHT TRIANGLE.

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