to show that angles opposite to equal sides of a triangle are equal. Plz help me wid this question and give answer if u know or else don't jxt to increase ur points....
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Angles opposite to equal sides of a triangle are equal. Sides opposite to equal angles of a triangle are equal. Each angle of an equilateral triangle is of 60°. If three sides of one triangle are equal to three sides of the other triangle, then the two triangles are congruent (SSS Congruence rule)
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✪GIVEN✪
- Triangle ABC such that AB = AC.
★TO PROVE★
- ∠ABC = ∠ACB
☆CONSTRUCTION☆
- From A, draw a line AD bisecting BC at D.
᯽PROOF᯽
In ΔABD and ΔACD
☞︎︎︎ AB = AC (Given)
☞︎︎︎ BD = CD (By Construction)
☞︎︎︎ AD = AD (Common)
By SSS congruent criteria
ΔABD ≅ ΔACD
Corresponding angles of congruent triangles are equal. Hence,
∠ABC = ∠ACB
Hence Proved
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