Question

if one angle of a triangle is equal to the sum of another two angles than triangle is​

Answer 1

Answer:

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Answer 2

Answer:

Let the angles of a ΔABC be ∠A, ∠B and ∠C.

Given, ∠A = ∠B + ∠C  …(i)

In ΔABC, ∠A + ∠B + ∠C = 180° [Sum of all angles of a triangle is 180°] ...(ii)

From Eqs. (i) and (ii) ,

∠A + ∠A = 180°

⇒ 2∠A = 180°

⇒ ∠A = 180/2

∴ ∠A = 90°

Hence, the triangle is a Right Angled Triangle.

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