Answer:
Part a) The measure of an exterior angle is 60°
Part b) The measure of an interior angle is 120°
Step-by-step explanation:
step 1
Find the value of x
we know that
A regular polygon has equal sides and equal interior angles
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
so
![2x+4x=180](https://tex.z-dn.net/?f=2x%2B4x%3D180)
solve for x
![6x=180](https://tex.z-dn.net/?f=6x%3D180)
![x=30](https://tex.z-dn.net/?f=x%3D30)
step 2
Find the measure of an exterior angle
2x
substitute the value of x
![2x=2(30)=60\°](https://tex.z-dn.net/?f=2x%3D2%2830%29%3D60%5C%C2%B0)
step 3
Find the measure of an interior angle
4x
substitute the value of x
![4x=4(30)=120\°](https://tex.z-dn.net/?f=4x%3D4%2830%29%3D120%5C%C2%B0)
In this problem the regular polygon is a hexagon
Answer:
162
Step-by-step explanation:
260/2=130
130+32=162
Answer:
5/7, 2/3, and 16/21
Step-by-step explanation:
If you put them all under the same denominator you will get 2/3=14/21, 5/7= 10/21, and 16/21. And if you put them in order it is 10/21, 14/21, and 16/21. Hope this helps, let me know if correct!!
440 yards x 20 = 8800 yards.
8800 yards is equal to 5 miles.