Question

Find the value of ∠DCE.

Options

• 80°

• 75°

• 90°

• 100°

Answer 1

80°

Explanation:

∠BAD = `1/2`BOD

∠BAD = `1/2`(160°)

∠BAD = 80°

ABCD is a cyclic quadrilateral.

∠BAD + ∠BCD = 180°

∠BCD = 100°

∠DCE = 180° - ∠BCD

∠DCE = 180° - 100°

∠DCE = 80°