find x I guess. (I don't know what to say)

1. ∠AOD and ∠COB are equivalent because they're vertical angles (opposite pair of angles that are formed from the intersection of two lines). That means that 3x + x + x + 12 = 152.

2. (Solving 3x + x + x + 12 = 152)

Step 1: Simplify both sides of the equation.

[tex](3x+x+x)+(12)=152[/tex]
[tex]5x + 12 = 152[/tex]

Step 2: Subtract 12 from both sides.

[tex]5x + 12 - 12 = 152 - 12[/tex]
[tex]5x = 140[/tex]

Step 3: Divide both sides by 5.

[tex]\frac{5x}{5} = \frac{140}{5}[/tex]
[tex]x = 28[/tex]

Step 4: Check if solution is correct.

[tex]3(28)+(28)+(28)+12 = 152[/tex]
[tex]84 + 28 + 28 + 12 = 152[/tex]
[tex]112 + 28 + 12 = 152[/tex]
[tex]140 + 12 = 152[/tex]
[tex]152 = 152[/tex]

Therefore, x = 28.

ElephantHouse ElephantHouse · Answer 2 · 2021-10-10T05:56:26+02:00

Answer:

x = 28

Step-by-step explanation:

Based on the vertical angles theorem, ∠AOD ≅ ∠COB.

• ∡AOD = 152°

• ∡COB = 3x + x + x + 12

To find the value of x, set up the equation that can be formed from the given information:

3x + x + x + 12 = 152 First, combine like terms.

5x + 12 = 152 Subtract 12 from both sides to isolate the variable.

5x = 140 Divide both sides by 5 to find the value of x.

x = 28

The value of x is 28°.