Question

in an isosceles triangle the base angles are equal the vertex angle is 5/2 times of either base angle.what are the angles of a triangle

Answer 1

Step-by-step explanation:

Given,

in an isosceles triangle the base angles are equal

let the equal angles are x & x

Given, the vertex angle is 5/2 times of either base angle => vertex angle = 5/2 x

sum of the angles of a triangle = 360°

=> x + x + 5/2 x = 360°

=> 2x + 2x + 5x = 2 * 360°

=> 9x = 720° => x = 720/9

=> x = 80°

vertex angle = 5/2 x = 5 * 80 / 2

= 5 *40 = 200°

.•. the angles of a triangle are 80° , 80° , 200°