Question

Apply the properties of isosceles and equilateral triangle to find the unknown angles

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Answer 1

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In an equilateral triangle,

Each angle = 60°

In isosceles triangle.,

Let each base angle = a

∴ a + a + 100° = 180°

⇒ 2a + 100° = 180°

⇒ 2a = 180° – 100° = 80°

∴ a = 80°/2 = 40°  ∴ x = 60° + 40° = 100°

And y = 60° + 40° = 100°

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Answer 2

⊱✿Aⲛsⲱⲉꞅ ✿⊰

↬In an equilateral triangle,

↬Each angle = 60°

↬In isosceles triangle.,

↬Let each base angle = a

∴ a + a + 100° = 180°

⇒ 2a + 100° = 180°

⇒ 2a = 180° – 100° = 80°

∴ a = 80°/2 = 40° ∴ x = 60° + 40° = 100°

↬And y = 60° + 40° = 100°