Question

in triangle abc, angle a= 2 angle b and 2 angle c = 3 angle b. find the angles of triangle abc.​

Answer 1

Step-by-step explanation:

Angle A=80°, Angle B=40°, Angle C=60°

Answer 2

Answer:

Let angle b=X°,

then angle a=2X°

and 2 angle c=3X°

angle c=(3X/2)°

We know that sum of all angles of a triangle is 180°,

In∆ABC,angleA+angleB+angleC=180°

2X°+X°+3X/2°=180°

9X/2=180°

9X=360°

hence X=360°/9=40°

Hence angle A=2X=80°

angleB=X=40°

and angle C=3X/2°=60°