Answer:
Part 1) For a octagon, the measure of one interior angle is 135 degrees and the measure of one exterior angle is 45 degrees
Part 2) For a icosagon, the measure of one interior angle is 162 degrees and the measure of one exterior angle is 18 degrees
Step-by-step explanation:
Part 1) we have a 8-gon
we know that
A 8-gon or octagon, Is an eight-sided polygon
step 1
The measure of one interior angle in a octagon is equal to

where
n is the number of sides of the regular polygon
For n=8

step 2
To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides
so

Part 2) we have a 20-gon
we know that
A 20-gon or icosagon, Is a twenty-sided polygon
step 1
The measure of one interior angle in a icosagon is equal to

where
n is the number of sides of the regular polygon
For n=20

step 2
To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides
so

Answer:
slope is 5/2
Step-by-step explanation:
(-5,0) (-3,5)
m = 5-0/-3-(-5)
m = 5/2
Answer: 
Step-by-step explanation: Given that
and
lies in Quadrant III.
We are to find the value of 
We will be using the following trigonometric identities:

We have

Since
lies in Quadrant III, so tangent will be positive.
Thus,

Answer:
x = 50
Step-by-step explanation:
<c = <e so:
5y - 4 = 76
5y = 80
y = 16
<c = 76
All triangle interior angles add up to 180 so:
x + 8 + 46 + 76 = 180
x + 130 = 180
x = 50