Question

I need help finding the value of x for these problems?

Answer 1

Figure 1:

We have that:

- The sum of the internal angles of a triangle is equal to 180°.

- A right angle measures 180°.

Therefore:

`180-78-39=63`

And

`x=180-63=117`

Answer: x = 117°

Figure 2:

`180-109=71`

And

`x=180-27-71=82`

Answer: x = 82°

Figure 3:

`180-116=64`

And

`\begin{gathered} 7x+6+4x+64=180 \\ Solve\text{ for x} \\ 11x+70=180 \\ 11x+70-70=180-70 \\ 11x=110 \\ (11x)/(11)=(110)/(11) \\ x=10 \end{gathered}`

Answer: x = 10