interior angle of a regular 18-gon.
It is easier to calculate the exterior angle of a regular polygon of n-sides (n-gon) by the relation
exterior angle = 360/n
For a 18-gon, n=18, so exterior angle = 360/18=20 °
The value of each interior angle is therefore the supplement, or
Interior angle = 180-20=160 degrees.
Naming of a 9-gon
A polygon with 9 vertices is called a nonagon (in English) or enneagon (French ennéagone, but the English version is sometimes used)
You had a good start with the correct answer.
Exterior angle of a 15-gon
The exterior angle of a 15-gon can be calculated using the relation given in the first paragraph, namely
Exterior angle = 360/15=24 degrees
Answer:
Here are my answers
hope this helps
Step-by-step explanation:
1. isosceles triangle
2. 3x + 15 = 90 x = 25
x + 25 = 90 x = 65
x + 55 = 90 x = 35
3. The size for DAB is 84
My reasoning is I went from one angle to another by subtracting 180 from my answers. For example angle 132 is supplementary to the missing angle next to it. I subtract 180 from 132 and get 48. That already solves the 2 equivalent angles in the triangle so I have 48+48+x = 180 because a full triangle equals 180. I get x = 84 then I do the same thing I did with angle 132. Angle 84 is supplementary to the missing angle next to it. I subtract 84 from 180 and get 96 then go diagonal from angle C (which is 96) to angle A. Those are supplementary so I subtract 96 from 180 and get 84.
I've attached a photo of the solution below. Hope it helps!
Answer:
C=47
B=133
Step-by-step explanation:
Answer:
9 dimes and 17 quarters
Step-by-step explanation:
9+17=26 coins
9 dimes = 90 cents
17 = 425 cents
90+425= 515 cents or $5.15
Hope this helps! :)
