Question

An exterior angle of an triangle is 110 degree and one of its interior opposite angle is 45 degree then find other interior opposite angles

Answer 1

• in ∆ABC the ext. angle=110°

Property:ext.angle= sum of two int. opposite angles

45°+angle A = 110°

angle A = 110°- 45° = 65°

for angle C

Property: sum of all the three angles of a ∆are = 180°

angle A + angle B + angle C = 180°

65° + 45°+ angle C = 180°

angle C= 180°- (65° + 45°)

angle C=180° - 110°

angle C=70°

hope this would be helpful.....