Question

one angle of a triangle is 65find the remaning two angles if their dofference is20

Answer 1

one angle is 47.5 and the 2nd one is 67.5

Answer 2

Sol:

Given, in a triangle,

1st angle =65°

2nd angle = x

3rd angle =x-20°

We have, sum of angles in a triangle = 180°

So , 65°+x+x-20° = 180°

45°+2x=180°

2x =135°

x=67.5°

So 2nd angle = x-20°

=67.5°-20°=47.5°