Question

The average of two non-congruent angles of an isosceles triangle is 65° . Find the value of these two angles.

Answer 1

Step-by-step explanation:

sum of triangle = 180

therfore ,

in issoseles tri. two angles are equal

so,

x+x+65=180

2x=180-65

x=115/2

x= 57.5

angles are = 57.5

Answer 2

Answer:

let the angles be x and y

by angle sum property,

y= 180-2x (two angles of an isosceles triangle are equal) ----(1)

ATQ,

(x+y)/2 = 65

=> y= 130-x   --------(2)

solving (1) and (2),

we get x = 50

so y = 180- 2(50) = 80

therefore, angles are 50 and 80 degrees