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Find the values of the unknown x and y in the following figures |
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Answer» (i) Since angles y and 120° form a linear pair. y + 120° = 180° y = 180° – 120° y = 60° Now using the angle sum property of a triangle, we have x + y + 50° = 180° x + 60° + 50° = 180° x + 110° = 180° x = 180° – 110° = 70° x = 70° y = 60 (ii) Using the angle sum property of triangle, we have 50° + 60° + y = 180° 110° + y = 180° y = 180° – 110° y = 70° Again x and y form a linear pair ∴ x + y = 180° x + 70° = 180° x = 180° – 70° = 110° ∴ x = 110°; y = 70° |
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