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ac = ad, ab perpendicular to bd, m angle dac = 44 degrees and ce bisects angle acd. find m angle dec.

angle dec =

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°.

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