Question

The measures of angles of a triangle are x°, (x -30)°, (x -60)° find the measure of each angle.
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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.

Answer 2

x+x-30+x-60=180 {angle sum property of∆}

3x-90=180

3x=180+90

3x=270

x=90

x-30=90-30=60

x-60=90-60=30