Question

the angles of a triangle are (3x),(2x-7)and(4x-11).Then the value of 'x' is

Answer 1

Answer:

x is 22

3x +2x -7 +4x -11 is 180 (sum of all angles in a triangle)

9x - 18 is 180

9x is 198

x is 22

Answer 2

AnsWer:

• Value of x = 22.
• Three angles of triangle are 66°, 37° and 77°.

Step-By-Step Explanation:

Given:

• Angle 1st = (3x)°
• Angle 2nd = (2x - 7)°
• Angle 3rd = (4x - 11)°

To Find:

⇒ Value of x.

Now, we know that, sum of angles of triangle is 180°.

⇒ 3x + 2x - 7 + 4x - 11 = 180

⇒ 9x - 18 = 180

⇒ 9x = 180 + 18

⇒ 9x = 198

⇒ x = 198/9

⇒ x = 22°

So,

• Angle 1st = 3x = 3 × 22 = 66°
• Angle 2nd = 2x - 7 = 2 × 22 - 7 = 44 - 7 = 37°
• Angle 3rd = 4x - 11 = 4 × 22 - 11 = 88 - 11 = 77°

Hence, three angles of triangle are 66°, 37° and 77°.

Verification:

⇒ Angle 1st + Angle 2nd + Angle 3rd = 180°

⇒ 66 + 37 + 77 = 180

⇒ 180 = 180

Hence Proved!!