Question

POSSIBLEAnd the sum of the oranges of the shape. Use the remaining angles to solve torx Polygons Helpdegrees

Answer 1

Notice that the irregular polygon has 6 sides. Then, we can use the formula for calculating the sum of interior angles:

`S=180(n-2)`

in this case,n = 6, then:

`\begin{gathered} S=180(6-2)=180(4)=720 \\ S=720\degree \end{gathered}`

now that we have that the sum of the interior angles equals 720 degrees, we can find the value of angle x:

`\begin{gathered} 98+90+155+112+140+x=720 \\ \Rightarrow595+x=720 \\ \Rightarrow x=720-595=125 \\ x=125\degree \end{gathered}`

therefore, the measure of angle x is 125 degrees