Question

In an isosceles triangle, a base angle is four times its vertical angle. Find all the angles of the triangle.
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Answer 1

Answer:

1 angle =2angle=30

3rd angle = 120

Answer 2

Solution:

Let vertical angle of an isosceles triangle = x

∴ Each base angle = 4x

∴ x + 4x + 4x = 180°

(Sum of angles of a triangle)

⇒ 9x = 180° ⇒ x = 180°/9 = 20°

∴ Vertical angle = 20°

and each of the base angle = 4x

= 4 x 20° = 80°