1.

3) The angles of triangle are (x-40)º, (x-20)° and [ 1/2 x-10]Find the value of x.​

Answer»

ong>Answer:

  • The value of x is 100.

Step-by-step EXPLANATION:

Given that:

The angles of triangle.

  1. First angle = (x - 40)°
  2. Second angle = (x - 20)°
  3. Third angle = (½x - 10)°

To Find:

  • The value of x.

We know that:

  • SUM of angles of a triangle is equal to 180°.

Finding the value of x:

According to the question.

⟶ (x - 40) + (x - 20) + (½x - 10) = 180

⟶ x - 40 + x - 20 + ½x - 10 = 180

⟶ x + x + ½x - 40 - 20 - 10 = 180

⟶ 2½x - 70 = 180

⟶ 2½x = 180 + 70

⟶ 2½x = 250

⟶ (5/2)x = 250

⟶ x = (250 × 2)/5

⟶ x = 500/5

⟶ x = 100

∴ The value of x = 100


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