SOLUTION: in pentagon MTLYN m angle m=90 and M angle T=150 m angle Y and m angle N are each twice as large as m angle L find the measures of angle L angle Y and angle N

Question 628144: in pentagon MTLYN m angle m=90 and M angle T=150 m angle Y and m angle N are each twice as large as m angle L find the measures of angle L angle Y and angle N
Answer by dfrazzetto(283) (Show Source): You can put this solution on YOUR website!
Sum of interior angles (in degrees) of a polygon:
n = sides
Σ(sum) = (n-2)180 = 3(180) = 540
M = 90
T = 150
Y = N = 2L
M + T + Y + N + L = 540
90 + 150 + 2L + 2L + L = 540
5L = 540 - 90 - 150
5L = 300
L = 60
Y = N = 2L = 120
Check:
90 + 150 + 120 + 120 + 60 = 540
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