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Find the value of the unkown interior angle x in the following figures: |
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Answer» (i) ∠x + 50° = 115° ∵ The exterior angle of a triangle is equal to the sum of its two interior opposite angles. ∵ ∠x = 115° – 50° = 65° (ii) ∠x + 70° = 100° ∴ ∠x = 100° – 70°= 30° (iii) ∠x + 90° = 125° ∵ The exterior angle of a triangle is equal to the sum of its two interior opposite angles. ∴ ∠x = 125° – 90° = 35° (iv) ∠x + 60° = 120° ∵ The exterior angle of a triangle is equal to the sum of its two interior opposite angles. ∠x = 120° – 60° = 6o° (v) ∠x + 30° = 80° ∵ The exterior angle of a triangle is equal to the sum of its two interior opposite angles. ∵ ∠x = 80° – 30° = 50° (vi) ∠x + 35° = 75° ∵ The exterior angle of a triangle is equal to the sum of its two interior opposite angles. ∴ ∠x = 75° – 35° = 40° |
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