Question

The angles of a triangle are 2(x-7), 3/2(x -1) and 3(x +11). Find x and then show that the

triangle is isosceles.​

Answer 1

Step-by-step explanation:

sum of angles of a triangle is 180

• thus, 2(x-7)+3/2(x-1)+3(x+11)=180
• 2x-14+1.5x-1.5+3x+33=180
• 6.5x+17.5=180
• 6.5x=162.5
• x=25

1. 1.5(x-1) =1.5(24) =36
2. 2(x-7) =2(18) =36
3. 3(x+11) =3(36) =108

• side opposite to equal angles are equal
• so, it is an isosceles triangle