ABCDEF is a regular hexagon. Find the value of ∠DBC and ∠FED.
ABCDEF is a regular hexagon. Find the value of ∠DBC and ∠FED. Correct Answer 30°, 120°
Given:
ABCDEF is a regular hexagon
Calculation:
/n
⇒ Angle of hexagon = (4 × 180°)/6 = 120°
⇒ ∠FED = 120°
In a triangle BCD,
⇒ BC = DC (∵ regular hexagon)
⇒ ∠CDB = ∠DBC
⇒ ∠BCD = 120°
⇒ ∠BCD + ∠DBC + ∠CDB = 180°
(∵ regular hexagon has equal internal angles)
⇒ 120° + 2∠DBC = 180°
⇒ ∠DBC = 30°
∴ Required answers are ∠DBC = 30° and ∠FED = 120°.
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Feb 20, 2025