Answer:
Step-by-step explanation:
are we solving this ?
Problem 4
x = interior angle
y = exterior angle
x = 3y since "each interior angle...is three times the measure of each exterior angle"
The interior and exterior angles are supplementary, meaning,
x+y = 180
3y+y = 180
4y = 180
y = 180/4
y = 45
So we know that
n = 360/y
n = 360/45
n = 8
You are correct in saying that this is an octagon
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Problem 5
x = measure of missing angles
Find the sum of the interior angles
S = 180*(n-2)
S = 180*(5-2)
S = 540
The five interior angles add up to 540 degrees
Add up the five angles, set equal to 540, then solve for x
90+90+90+x+x = 540
2x+270 = 540
2x+270-270 = 540-270
2x = 270
2x/2 = 270/2
x = 135
So you have the correct answer of choice C) 135 degrees
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Problem 6
S = 180*(n-2)
S = 180*(6-2)
S = 180*4
S = 720
You have the correct answer. Nice work on all three correct answers.
1 30 30
-- x ---- = ---- ---> 30/5 = 6
5 1 5
30 is a full number but it can turn into a fraction. The whole number (30) will be the numerator (the top number) and 1 is basically "the quantitative number" aka the denominator (the bottom number).
The final result of this problem is 30 over 5. Which you can divide. Always divide the numerator to the denominator to get your answer (for this kind of problem).
