Question

triangle
The ratio between the vertical angle and a base angle of an isosceles triangle is 2.5
Find all the angles of the triangle.​

Answer 1

Let the required ratio be 2x : 5x. Then,

verticle angle (⟨1) = 2x

a base angle (⟨2) = 5x

We know that,

in isosceles triangle, the two base angle are equal.

So, other base angle (⟨3) = 5x

Applying Angle Sum property of triangles,

⟨1 + ⟨2 + ⟨3 = 180°

=>2x + 5x + 5x = 180°

=> 12x = 180°

=> x = 180°/12

=> x = 15°

therefore,

⟨1 = 2x15° = 30°

⟨2 =. 5x 15° = 75°

⟨3 = 5x15° = 75°

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