The geometry is that the number of sides for a 15- gon is 15 sides and the angles are 156° each.
<h3>How to calculate the angle?</h3>
The total angles in a 15 gon will be calculated as:
= (n - 2) × 180
= (15 - 2) × 180
= 2340
The value of each angle will be:
= 2340/15
= 156°
The total angles in a 16 gon will be calculated as:
= (n - 2) × 180
= (16 - 2) × 180
= 2520
The value of each angle will be:
= 2520/16
= 157.5°
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3,360
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Answer:
Step-by-step explanation:
Angles 3x+5, 75 and x all together make up 180 degrees (review "straight angles").
Thus, 3x + 5 + 75 + x = 180
Simplifying the left side, we get:
4x + 80 = 180, so that 4x = 100, and x = 25.
<KJL = 3(25) + 5 = 80 degrees
<NJM = 25 degrees
<MJL = 75 degrees
This is an arithmetic series,
so
S(n) = (n/2)*(a(1)+a(n))
S(25) = (25/2)*(a(1)+a(25))
n=25
a(n) = 3n-2
a(1)= 3*1-2=1
a(1)=1
a(25) = 3*25-2=75-2=73
a(25)=73
S(25) = (25/2)*(1+73)=(25/2)*74=925
S(25)=925
Answer : 925