In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an equilateral triangle. What is the value (in degrees) of ∠EBZ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 102°
Each internal angle of regular pentagon = 180° - 360°/5 = 108°
Each internal angle of Square = 90°
Each internal angle of Equilateral Triangle = 60°
Hence,
∠EBZ = 360° - ∠EBA - ∠ABC - ∠ZBC
= 360° - 60° - 90° - 108°
= 102°