Question

If one angle of a triangle is equal to the sum of other two , show that the triangle is a right triangle.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

The one angle of triangle is equal to the sum of the other two.

Sum of the angle of a triangle = 180°

Let the first angle be ∠A

Second angle be ∠B

Third angle be ∠C

∠A + ∠B + ∠C = 180°

as per the question the sum of an angle of a triangle is equal to sum of other two angles of a triangle

→ ∠C + (∠A + ∠B) = 180°

→ ∠C + ∠C = 180°

→ 2 ∠C = 180

→ ∠C = 90°

∠C = 90° , Therefore the triangle is right angled.