Answer:
m∠BEC = 65°
m∠DEC = 115°
m∠DAE = 78°
m∠ECD = 40°
m∠BAD = 118°
m∠ADC = 62°
Step-by-step explanation:
m∠BEC = 65°
Opposite angles formed by intersecting lines are congruent
m∠DEC = 180 - 65 = 115°
A straight line has a degree measure of 180
m∠DAE = 78°
Opposite interior angles of two parallel lines cut by a transversal are congruent
m∠ECD = 180 - [m∠DEC + 25] = 40°
Sum of angles inside triangle ECD has a measure of 180
m∠BAD = 78 + m∠ECD = 118°
Opposite angles of a parallelogram are congruent
2(m∠BAD) + 2(m∠ADC) = 360
118 + m∠ADC = 180
m∠ADC = 62°
Sum of angles inside a parallelogram = 360°
