Question

Solve the diagram below to write an equation and solve for x.

Answer 1

Answer: The equation is (3x) + (2x + 20) + (x+10) = 180, and the x = 25.

Explanation:

First, you know that all the measures of angles equal 180°.

So, we can make this equation:

(3x) + (2x + 20) + (x+ 10) = 180

Then, solve for x:

3x + 2x + 20 + x + 10 = 180

Combine the like terms that have the variable, x, in them:

6x + 20 + 10 = 180

Now combine the constant numbers:

6x + 30 = 180

Next, subtract 30 from that side:

6x = 180 - 30

6x = 150

Then, divide:

`(6x)/(6)`=
`(150)/(6)`

x = 25

Therefore, the equation is (3x) + (2x + 20) + (x +10) = 180, and the x is 25.

Hope this helps! :)

Answer 2

x = 25°

Explanation:

Hello!

The sum of angles in a triangle is equal to 180°. If we add all the measures and set it to 180°, we can solve for x.

Solve for x

• 3x + 2x + 20 + x + 10 = 180
• 6x + 30 = 180
• 6x = 150
• x = 25

The value of x is 25°.