the ratio between the base angle and the vertical angle of an isoceles triangle is 2:5 find each angle of the triangle
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Answer:
Ratio between base angle and vertical angle
Of an isosceles triangle = 1 : 4
Let each base angle = x
Then vertical angle = 4x
∴ x + x + 4x = 180°
(Sum of angle of a triangle)
⇒ 6x = 180°
x = 180°/6 = 30°
∴ Each base angle = x = 30°
And vertical angle = 4x
= 4 × 30° = 120°
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