Question

ln triangle ABC,angle C=3×angle B=2(angle A +angle B) Find all the angles in degrees

Answer 1

hi
Angle sum property ( Angle A+ Angle B+Angle C= 180°)
Angle A+ Angle B+3 Angle B =180°
Angle A+ 4Angle B =180°
3Angle B = 2(Angle A+ Angle B) = 2 Angle A+2 Angle B 3 Angle B-2 Angle B-2 Angle A
Angle=2 Angle A
Angle A+4(2 Angle A) = 180°
Angle A+ 8 Angle A=180°
9 Angle A = 180°
Angle A=20°
Angle B= 2 Angle A = 2×20=40°
Angle C=3 Angle B 3 × 40=120°
Angle= 20°=Angle B=40°, Angle C=120