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Find the value of the unknown x in the following diagrams : |
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Answer» (i) ∠A + ∠B + ∠C = 180° x° + 50° + 60° = 180° (By Angle sum property of a triangle) ∠x + 110° = 180° ∠x = 180° – 110° ∠x = 70° (ii) ∠P + ∠Q + ∠R = 180° 90° + 30° + ∠x = 180° (By Angle sum property of a triangle) 120° + ∠x = 180° ∠x = 180° – 120° = 60° (iii) ∠X + ∠Y + ∠Z = 180° 30° + 110° + ∠x = 180° (By Angle sum property of a triangle) 140° + ∠x = 180° ∴ ∠x = 180° – 140° = 40° (iv) 50° + x + x = 180° 50° + 2x = 180° (By Angle sum property of a triangle) 2x = 180° – 50° = 130° x = \(\frac{180^o}{2}\) ∴ ∠x = 60° (v) x + x + x = 180° (By Angle sum property of a triangle) 3x = 180° x = \(\frac{180^o}{2}\) ∴ x = 60° (vi) x + 2x + 90° = 180° (ByAngle sum property of a triangle) 3x = 180° x = \(\frac{180^o}{3} = 60^o\) |
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