Question

Find the value of n

Answer 1

http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-CA10/a/assessments/Q-QuadrilateralsPolygonsUnitExam/Geometry_Unit5_Exam_Final_21q.gif

Answer 2

Use the interior angles rule to find what the sum of the interior angles has to be:
\[Sum\ of\ interior\ angles\ within\ an\ n-gon=180°\times (n-2)\]

All of the angles inside will add up to equal that.

Answer 3

confused..idont know how to use that formula

Answer 4

Basically, you replace n with the number of sides in the shape. In a triangle, n=3, so we have:
180°×(3-2) → 180°
If you add up all the angles inside a triangle, we know that they add up to 180°, so this makes sense.

Answer 5

\(\large {\textit{sum of interior angles}\\ \quad \\
\begin{array}{llll}
(&n-2)\cdot 180\\
&\uparrow\\
&\textit{number of sides in the polygon}
\end{array}}\)

Answer 6

Your shape has 6 sides, so we have:
180°×(6-2) = 180°×4 = 720°

135°+62°+151°+140°+n°+(n+6)° = 720°

Answer 7

we know sum of external angles of a polygon=360
40+29+118+45+180-(n+6)+180-n=360
232=n+6+n
2n=226
n=113