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Question
In the given figure, find the measures of ∠x and ∠y.
Solution
In ∆ABC,
∠BAC + ∠ABC + ∠ACB = 180° ......[Angle sum property]
⇒ 45° + 60° + x = 180°
⇒ x = 180° – 45° – 60° = 75° ......(i)
Now, ∠BAD = ∠ABC + ∠ACB ......[Exterior angle property]
⇒ y = 60° + x
⇒ y = 60° + 75° = 135° ......[Using (i)]
Thus, x = 75° and y = 135°
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