Question

In ABC, 2A = 3B = 6C. Find angles.​

Answer 1

Let all the angles be x.
∠A=
2
x
​
,∠B=
3
x
​
,∠C=
6
x
​

So,
2
x
​
+
3
x
​
+
6
x
​
=180° [sum of all the angles of triangle is 180°]
12
6x+4x+2x
​
=180°
12
12x
​
=180°
x=180°
∠A=
2
x
​
=
2
180°
​
=90°
∠B=
2
x
​
=
3
180°
​
=60°
∠C=
6
x
​
=
6
180°
​
=