Question

The ratio between th he base angle and the vertical angle of an isoceles triangle is 2:5. Find each angle of the triangle. Please give step by step explanation.

Answer 1

Answer:

let the base angle be 2x

therefore, vertical angle = 5x

*two angles are equal in an isoceles triangle*

1st angle = 5x

2nd and 3rd angle = 2x

BTP

2x +2x +5x = 180⁰

9x =180⁰

x= 180/9

x= 20

therefore the base angles are :- 2x 20 = 40

vertical angle = 5x 20= 100

1st angle= 40

2nd angle =40

3rd angle = 100