Question

angles of polygons: exterior
name:
the sum of the exterior angles of any polygon is always equal to.
exterior angles: non - regular polygons
find the value of x.

1. x=
2. x=
3. x=
4. x=

exterior angles: regular polygons
find the measure of one exterior angle for the regular polygon with n sides.

1. quadrilateral 10) octagon 11) 16 - gon

Explanation:

Step1: Recall the sum of exterior angles

The sum of exterior angles of any polygon is \(360^{\circ}\).

Step2: Solve for \(x\) in problem 1

For the first polygon, we have \(75 + 44+65 + 54+76+x=360\).

$$
LATEXBLOCK0
$$

Step3: Solve for \(x\) in problem 2

For the second polygon, \(85+71 + 44+2x+3x=360\).

$$
LATEXBLOCK1
$$

Step4: Solve for \(x\) in problem 3

For the third polygon, \(60+80 + 110+70+x=360\).

$$
LATEXBLOCK2
$$

Step5: Solve for \(x\) in problem 4

For the fourth polygon, \(120+70 + 70+x=360\).

$$
LATEXBLOCK3
$$

Answer:

1. \(x = 46\)
2. \(x = 32\)
3. \(x = 40\)
4. \(x = 100\)