Question

The angles of a triangle are in the ratio 1:2:6. Find the measure of each angle. ​

Answer 1

Let the numbers are 1x,2x,6x

A/C:-

☞x+2x+6x=180°

=>9x=180°

=>x=20

Now, x=20°; 2x=2×20=40°; 6x=6×20=120°

Answer 2

Answer:

Given,

Ratio of angles of the triangle = 1:2:6

let the required angles be x°,2x°,6x°

As we know sum of all angles of triangle is 180°

So putting the value we get equation

x°+2x°+6x°= 180° [ sum of all angles of triangles is 180° ]

9x°=180°

x°=180°/9°

x°=20°

The angles are :-

x°=20°

2x°=(2×20)°=40°

6x°=(2×20)°=120°