KannonW267831 KannonW267831
  • 03-11-2022
  • Mathematics
contestada

He starts by finding the sum of the exterior angles of a Pentagon, which isand then he solves to find that x is

He starts by finding the sum of the exterior angles of a Pentagon which isand then he solves to find that x is class=

Respuesta :

TelaZ776654 TelaZ776654
  • 03-11-2022
[tex]\begin{gathered} x\text{ = 33}\frac{2}{3} \\ \text{The sum of the exterior angles of a pentagon is 360} \end{gathered}[/tex]

The sum of the exterior angle of all polygons is same.

This is equal to 360

So, when we add all the exterior angles, this is equal to 360

Thus, mathematically;

[tex]\begin{gathered} x\text{ +2x + 78 + 77 + 3x+3 = 360} \\ \\ 6x\text{ + 158 = 360} \\ \\ 6x\text{ = 360-158} \\ \\ 6x\text{ = 202} \\ \\ x\text{ = }\frac{202}{6} \\ \\ x\text{ = 33}\frac{2}{3} \end{gathered}[/tex]

Answer Link

Otras preguntas

A student places four small aquatic snails in a test tube containing bromothymol blue solution. The solution will change color from blue to yellow if the carbon
what happened to the kings of Europe after the crusades
please help me with this ​
Pls help. Am desperate. (dont give wrong answer pls) Look at the image!
What chord do chord progressions usually end on? I IV V vi
Sioux Corporation is estimating the following sales for the first four months of next year:January$210,000February$280,000March$340,000April$370,000-Sales are n
how much does a line segment measure
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
what is the area of this triangle?
Which information appears on a secondary label? O A. country of origin ОВ. care instructions O C. size specifications OD. designer's name