CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the given pentagon ABCDE, AB = BC = CD = DE = AE. What is the value of x?


A
36
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
54
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
72
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
108
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 54
Since, equal chords subtend equal angles at the centre.
AOE=3605=72 (total angle subtended at the centre is 360 and here it is subtended by 5 equal chords. We know that equal chords subtend equal angle at the centre)
Now, OE=OAOEA=OAE=x
In ΔOAE, x+x+AOE=180
2x+72=180
x=1082=54

flag
Suggest Corrections
thumbs-up
88
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Their Chords - Theorem 1
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon