Question

Solve for x and each angle. Note: Picture not drawn to scale.

Answer 1

SOLUTION -:

Solve for x

Required Answer -;

• 50

By using Sum of triangle property

Let's Begin -:

`\displaystyle \: x \: + 2x - 10 + 40 = 180 \degree`

`\displaystyle \: 3x - 30 = 180 \degree \\ 3x = 180 \degree \: - 30`

`\displaystyle \: 3x \: = 150 \degree \\ x \: = (150)/(3)`

`\bold{x = 50 \degree}`

thus , the value of x is 50° Ans

Answer 2

x = 50

Explanation:

Creating an equation to solve for x using basic geometry rules

Angles in a triangle always add up to 180 degrees.

This means that x + 2x - 10 + 40 must be equal to 180

Solving for x algebraically

x + 2x - 10 + 40 = 180

==> combine like terms

3x + 30 = 180

==> subtract 30 from both sides

3x = 150

==> divide both sides by 3

x = 50

Checking our answer by plugging in x and seeing if the equation created is true

x + 2x - 10 + 40 = 180

==> plug in x = 50

50 + 2(50) - 10 + 40 = 180

==> multiply 2 and 50

50 + 100 - 10 + 40 = 180

==> combine like terms

180 = 180 ( this is true so the answer is indeed x = 50 )