Question

2In the given figure, ABCD is a parallelogram. Side DC is produced
to E and angle BCE = 105
Calculate angle A , angle B, angle C and angle D.​

Answer 1

Answer:

Angle A=Angle C=75 degrees, Angle B=Angle D=105 degrees

Step-by-step explanation:

In parallelogram ABCD

Angle BCE=105 degrees

By property of parallelogram

Angle A=Angle C, Angle B=Angle D

By attached figure

Angle BCE+angle C=180 degrees

Reason: Linear pair

Substitute the values

Angle C+angle B=180 degrees

Reason: Sum of interior angles on the same side is equal to 180 degrees

Angle A=Angle C=75 degrees, Angle B=Angle D=105 degrees