Question

1. In triangle ABC, angle A =44". If AB=AC, find angle 8 and angle C.​

Answer 1

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If AB = AC

⇒ This is an isosceles triangle

⇒ Two of the angles are equal

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∠a = 44 (Given)

Sum of angles in a triangle is equal to 180°

∠a + ∠b + ∠c = 180

44 + ∠b + ∠c = 180

∠b + ∠c = 136

Since ∠b and ∠c are equal:

∠b = ∠c = 136 ÷ 2 = 68°

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Answer ∠b = 68° and ∠c = 68°

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Answer 2

Step-by-step explanation:

let the angle b and c be x (because abc is isosceles triangle)

<A+<B+<C=180°. (By angle sum property)

40°+x+x=180°

2x=180°-40°

x=140°/2

x=70°

<A=70°

<B=70°