Question

I need to find out what x is and every angle—we’ve done it twice and keep getting the wrong answers☹️

Answer 1

Step 1:

Apply the sum of angles in a triangle theorem.

Sum of angles in a triangle = 180

Step 2

`\text{4x - 22 + x + 11 + 10x - 4 = 180}`

Next, solve for x.

`\begin{gathered} 15x\text{ - 15 = 180} \\ 15x\text{ = 180 + 15} \\ 15x\text{ = 1}95 \\ x\text{ = }(195)/(15) \\ x\text{ = 1}3 \end{gathered}`

Final answer

x = 13

Every angle

`\begin{gathered} \text{4x - 22 = 4 }*13\text{ - 22 = 30} \\ x\text{ }+\text{ 11 = 13 + 11 = 24} \\ 10x\text{ - 4 = 10 }*\text{ 13 - 4 = 130 - 4 = 126} \end{gathered}`

The angles are:

30 , 24 , and 126