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Q.

In ΔABC, AC = BC and ∠C = 110°. Find ∠A and ∠B.

The Triangles and its Properties Class 7 Extra Questions Maths Chapter 6

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a

∠A = 35° and ∠B = 35°

b

∠A = 65° and ∠B = 45°

c

∠A = 65° and ∠B = 65°

d

∠A = 35° and ∠B = 45°

answer is A.

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Detailed Solution

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Given in ΔABC, ∠C = 110°
Let, ∠A = ∠B = x° (Angle opposite to equal sides of a triangle are equal)
x + x + 110° = 180°
⇒ 2x + 110° = 180°
⇒ 2x = 180° – 110°
⇒ 2x = 70°
⇒ x = 35°
⇒ ∠A = ∠B = 35°

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