What is the measure of angle CED

Option D:

p, because ∠ABC ∠EDC.

Solution:

In ΔABC and ΔDCE,

Vertically opposite angles are congruent.

∠ACB ≅ ∠DCE

∠ABC ≅ ∠EDC

we cannot proceed further,

So ΔABC and ΔDC are not congruent triangles.

By this, Option A, Option B and Option C are false.

In ΔABC and ΔEDC,

Vertically opposite angles are congruent.

∠ACB ≅ ∠DCE (Angle)

∠ABC ≅ ∠EDC (Angle)

By AA similarity ΔACB and ΔDCE similar triangles.

Corresponding parts of similar triangles are congruent.

∠CED = ∠BAC

∠CED = p

Hence option D is the correct answer.

p, because ∠ABC ∠EDC.

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step-by-step explanation: