A 32
B 65
C 44
D 54
Please tell
Attachments:
Answers
Answered by
1
In isosceles trapezium ABCE , a(A) = a(B) and a(C) = a(E) = 65°
Note a(BFE) is exterior angle of ∆EFC
So , a(FCE) + a(CEF) = a(BFE)
65° + a(CEF) = 100°
So , a(CEF) = 35°
Now , a(CEF) + a(AEG) = a(E) = 65°
So , a(AEG) = 65°-35° = 30°
Let no .Of sides of regular polygon be x.
Each exterior angle is given by 360/n
360/n = 30°
n = 12
No. of diagonals is given by {n(n-3)}/2
= 12*9/2 = 54
So , Answer is D) 54
Note a(BFE) is exterior angle of ∆EFC
So , a(FCE) + a(CEF) = a(BFE)
65° + a(CEF) = 100°
So , a(CEF) = 35°
Now , a(CEF) + a(AEG) = a(E) = 65°
So , a(AEG) = 65°-35° = 30°
Let no .Of sides of regular polygon be x.
Each exterior angle is given by 360/n
360/n = 30°
n = 12
No. of diagonals is given by {n(n-3)}/2
= 12*9/2 = 54
So , Answer is D) 54
Similar questions