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Question

Using information given in the adjacent figure, find the values of 𝒙 and 𝒚.


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Solution

We can infer from the figure that

∠ECD = ∠BAC + ∠ABC [Exterior angle property]

x = 30° + 35°

x = 65°

Similarly;

y = x + 45° = 65° + 45° = 110° [exterior angle property].


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