Question

If the three angles of a triangle are in AP and the greatest angle is 105°, then the least angle is

Answer 1

Hey,

Solution :


Let the three angles of a triangle are (a-d),(a),& (a+d).
(a-d)+(a)+ (a+d) = 180°
3a = 180°
a= 180 /3 = 60 °
The 3 angles are 60° -d , 60° and 60°+ d.

Greatest angle=105°
60+d=105°
d=105°-60
d=45°

60-d=60-45
60-d=15°

60+d=60+45
60+d=105°

Therefore the angles are 15°,60° and 105°.

Hope it helps you!