I want math schand solution Class 9 5 chapter
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1-Given that
AB = AC and ∠A = 70°
To find: ∠B and ∠C
AB = AC and also ∠A = 70°
As two sides of triangle are equal, we say that ∆ABC is isosceles triangle.
Hence by the property of isosceles triangle, we know that base angles are also equal.
ie. we state that ∠B = ∠C. …(1)
Now,
Sum of all angles in any triangle = 180°
∴ ∠A + ∠B + ∠C = 180°
Hence,
70° + ∠B + ∠C = 180°
2 ∠B = 180° - 70° …from (1)
∴ 2∠B= 110°
∠B = 55°
Therefore, our base angles, ∠B and ∠C, are 55° each.
AB = AC and ∠A = 70°
To find: ∠B and ∠C
AB = AC and also ∠A = 70°
As two sides of triangle are equal, we say that ∆ABC is isosceles triangle.
Hence by the property of isosceles triangle, we know that base angles are also equal.
ie. we state that ∠B = ∠C. …(1)
Now,
Sum of all angles in any triangle = 180°
∴ ∠A + ∠B + ∠C = 180°
Hence,
70° + ∠B + ∠C = 180°
2 ∠B = 180° - 70° …from (1)
∴ 2∠B= 110°
∠B = 55°
Therefore, our base angles, ∠B and ∠C, are 55° each.
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