he sum of angles of a …

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he sum of angles of a triangle is 180 degrees. If x is one of the angles then which of the following is true for an equilateral triangle? a) 3x= 180° b) x +3= 180° c) x= 180°
  • 1 answers

Ranveer Kumar 1 month, 1 week ago

Given : A triangle ABC. To prove : ∠A+∠B+∠C=180 o ⟹∠1+∠2+∠3=180 o Construction : Through A, draw a line l parallel to BC. Proof : Since l∥BC. Therefore, ∠2=∠4 .......eq(i) And, ∠3=∠5......eq(ii) adding eq(i)and(ii) Therefore, ∠2+∠3=∠4+∠5 ∠1+∠2+∠3=∠1+∠4+∠5 [adding∠1bothSide] ∠1+∠2+∠3=180 o Thus, the sum of three angles of a triangle is 180 o .
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