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.

Step-by-step 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:

$\frac{6x}{6}$= $\frac{150}{6}$

x = 25

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

Hope this helps! :)