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Question
Find the unknown angles in the given figure:
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Solution
In the figure,
x = 60° .........(Alternate angles)
Let each equal angle of an isosceles triangle be a
then a + a + x = 180° ..........(Angles of a triangle)
⇒ 2a + x = 180°
⇒ 2a + 60° = 180°
⇒ 2a = 180° − 60° = 120°
⇒ a =`(120°)/2=60°`
∴ y = x + a = 60° = 120°
Hence x = 60° and y = 120°
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