Question

x°, 2x° and 30° are the three angles of a triangle, find both unknown angles and also write what type of triangle is it?​

Answer 1

Answer:

The angles of a triangle are x,2x,3x.

Sum of angles of the triangle is 180

o

Thus, x+2x+3x=180

o

⟹6x=180

⟹x=

6

180

⟹x=30

As x=30

The angles of the triangle are, 30

o

,60

o

and 90

o

Since, one of the angles of the triangle is 90

o

. It is a right angled triangle.

Since, all the angles of the triangle are different, Hence all the sides of the triangle will be different. Hence, it is a right angled scalene triangle.