Question

The ratio between a base angle and the veryex angle of anisosceles triangle is 1:4 . Find the angle of the triangle​

Answer 1

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°

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

let angle will be x

base angles are 1x ,1x

and vertex angle is 4x

1x+1x+4x=180°( sum of all angle)

6x= 180°

x= 180/6

x= 30

base angles are you 30°,30°

vertex angle is 120°(by putting value of x)