Question

The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of
the triangle.
hase angle is four times its vertical angle. Find each angle of the triangle​

Answer 1

Answer:

80°

Step-by-step explanation:

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°