Question

one angle of a triangle is 65 degree.Find the remaining two angles if their difference is 20 degree​

Answer 1

ANSWER

1 angle of triangle = 65°

difference of 2 angle = 20°

let one angle of triangle = x°

So another angle = (x-20)°

sum of all angle of triangle = 180°

therefore,

=》 65° + x° + ( x - 20 )° = 180°

=》 65° + x° + x° - 20° = 180°

=》 45° + 2x = 180°

=》 2x = 180° - 45°

=》 2x = 135°

=》 x= 135° / 2

=》 x = 67.5°

therefore another angle = (67.5 - 20)°

= 47.5°

CHECK

sum of all angle should be = 180°

So,

65° + 67.5° + 47.5° = 180°

180° = 180°

Therefore, answer is correct

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