Question

In the triangle angle ABC ,A is greater than B of 24 degree, outside angle of C is 108 then find angle of A?

Answer 1

let angle B=x,

then
angle A=x+24°,

now according to question,we have

exterior angle C = interior angle A + interior angle B,

108°=x+24°+x,

108°-24°=2x,

84°=2x,

then

x=42°,

therefore

angle B=42°,

angle A=42°+24°=66°

Answer 2

let angle B=x,

then

angle A=x+24°,

now according to question,we have

exterior angle C = interior angle A + interior angle B,

108°=x+24°+x,

108°-24°=2x,

84°=2x,

then

x=42°,

therefore

angle B=42°,

angle A=42°+24°=66°