Question

9. Two angles of a triangle are 68° and 44º. Find the third angle.
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10. Each of the two equal angles of a triangle is 10° more than
Find the angles of the triangle.
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of the third angle.
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Answer 1

Let △ABC is an isosceles triangle

∴ In △ABC, AB = AC

And ∠B = ∠C = 68°

But ∠A + ∠B + ∠C = 180°

(Sum of angles of a triangle)

⇒ ∠A + 68° + 68° = 180°

⇒ ∠A + 136° = 180° ⇒ ∠A = 180° – 136°

∴ ∠A = 44°

Hence third angle = 44°