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प्रश्न
If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.
थोडक्यात उत्तर
उत्तर
ED is a straight line segment and B and C are points on it.
⇒ ∠EBC=∠BCD=straight angle =180°
⇒ ∠EBA+∠ABC=∠ACB+∠ACD
⇒ ∠EBA=∠ACD+∠ACB-∠ABC
⇒ ∠EBA= ∠ACD [from (1) ∠ ABC=∠ ACD]
⇒ ∠ABE= ∠ACD
∴ Hence proved
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