in a triangle abc angle A is 25 degree more than Angle B and angle C is 10 degree less than Angle B what are the angles of the triangle
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hope u understand the calculations yourself
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∠A = 80°, ∠B = 55° and ∠C = 45°
Step-by-step explanation:
Let ∠A = x + 25°, ∠B = x and ∠C = x - 10°
To find, the angles of the triangle = ?
We know that,
Sum of anges of triangle = 180°
∴ ∠A + ∠B + ∠C = 180°
⇒ x + 25° + x + x - 10° = 180°
⇒ 3x + 15° = 180°
⇒ 3x = 180° - 15° = 165°
⇒ x = 55°
∴ x + 25° = 55° + 25° = 80° and
x - 10° = = 55° - 10° = 45°
Hence, ∠A = 80°, ∠B = 55° and ∠C = 45°
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