Question

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

Answer 1

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

Answer 2

Sum of all angles of a triangle is $\bold\orange{180°}$

Solution

First angle$\bold\red{x=40°}$

Second angle $\bold\blue{x=-20°}$

Third angle $\bold\pink{x/2-10}$

First angle+second angle+third angle=180°

$\bold\green{(x-40°)+(x-20°)+(x-x/2-10)=180°}$

$\bold\orange{x+x+x/2-10)-(40+20+10)=180°}$

$\bold\purple{5x/2=250°}$

$\bold{x=100°}$