Question

the angle of triangle are in AP if the smallest angle is 45 degree find the largest angle​

Answer 1

If the angles are forming an AP

then,

a=45°

second angle=a+d=45+d

largest angle=a+2d=45+2d

by angle sum property sum of all angles in triangles is 180°

therefore,

45+45+d+45+2d=180

135+3d=180

3d=45

d=15°

largest angle=a+2d=45+(2×15)=45+30

=75°