Question

If three angles of a triangle are in the ratio 1:2:6, find their measures. What type of triangle is it?​

Answer 1

Answer:

20°,40°,120°

Step-by-step explanation:

Let the angles be x, 2x and 6x

x+2x+6x = 180° ( Being sum of the angles of a triangle)

9x= 180°

x= 180/ 9

x= 20°

Now,

Putting the value of x in 2x and 6x

2x = 2× 20°= 40°

6x= 6× 20°= 120°

The angles of triangle are 20°, 40°, 120°

Answer 2

Answer:

Let the common measure be x.

∴ x, 2x, 6x

x+2x+6x = 180° [∵ Angle sum property of a triangle is 180°]

or, 9x= 180°

or, x= 180°/9

= 20°

or, x= 20°

∴ 2x= 2×20°= 40°

6x= 6×20°= 120°

∴ The measure of three angles of a triangle are 20°, 40°, 120° respectively.

Type of triangle:-

It is a :-

a) Scalene Triangle

b) Obtuse-angled Triangle