1 2 3 A 3 B 3 C 3 D 4 5 6 7

Q. 3 A4.4( 20 Votes )

In each of the fo

Class 8th Karnataka Board - Mathematics Part II 11. Congruency of triangles

Answer :

Δ ABC is isosceles with AB = AC

∠BAC = 40⁰(Given)

In an isosceles triangle since the base angles are equal so

∠ABC = ∠ACB = y (Let’s assume)

∠ABC + ∠ACB + ∠BAC = 180⁰(Sum of interior angles of a triangle)

⇒ 2y = 180⁰-40⁰ = 140⁰

⇒ y = 70⁰

⇒ ∠ACB = 70⁰

∠ACB + x = 180⁰(Angle on a straight line)

⇒ x = 180⁰ - 70⁰ = 110⁰

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