AB, BC and CD are three consecutive sides of a regular polygon. If ∠ BAC = 20∘, Find its each interior angle
A
120∘
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
110∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
140∘
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
none of the above
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct options are A120∘ C140∘ AB, BC and CD are three consecutive sides of a regular polygon and ∠BAC=20o, In △BAC,AB=BC, Therefore, ∠BCA=∠BAC=20o (Isosceles Triangle) Now, ∠BCA+∠BAC+∠ABC=180o 20o+20o+∠ABC=180o ∠ABC=140o Each interior angle = 140o