Question

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

2, only ​

Answer 1

Answer:

a=70∘ as the angles opposite to equal sides are equal

In a triangle

a+70∘+x=180∘

Substituting the values

70∘+70∘+x=180∘

By further calculation

x=180–140=40∘

y = b as the angles opposite to equal sides are equal

Here a = y + b as the exterior angle is equal to sum of interior opposite angles

70∘=y+y

So we get

2y=70∘

y=70∘/2=35∘

Therefore,x=40∘ and y=35∘.

Answer 2

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Aɳടɯҽɾ

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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°