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Answer:
m∠DEC = 78°
Step-by-step explanation:
Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.
If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.
AC = AD (Given)
According to the angle sum property, the sum of interior angles of a triangle is 180°.
Divide both sides by 2.
CE bisects ∠ACD.
Use angle sum property in triangle CDE,
Subtract 102 from both sides.
Therefore, the measure of angle DEC is 78°.
