Question

I need help finding the value of X for each box?

Answer 1

Triangles at the top.

Extreme left)

Finding the missing interior angle of the triangle,

`y=180-64-53=63`

On the other hand, such missing angle and angle x° are supplementary angles; thus,

`x=180-y=117`

The answer to the first triangle (extreme left) is x=117.

2) Similarly,

`\begin{gathered} y=180-81-54=45 \\ \Rightarrow x=180-y=135 \end{gathered}`

The answer to the second triangle is x=135

3)

`\begin{gathered} y=180-82=98 \\ \Rightarrow x=180-48-98=34 \end{gathered}`

The answer to the third triangle is x=34

4)

`\begin{gathered} y=180-109=71 \\ \Rightarrow x=180-37-71=72 \end{gathered}`

The answer to the fourth triangle (extreme right) is x=72