Question

in the figure below AB and CD are parallel calculate all other angles in the figure.​

Answer 1

Step-by-step explanation:

Δ ABE

a+b=100°

E=180°-100°=80°

ΔCED

C+E+D=180°

E=80°

C+D=180-80=100°

SINCE AB IS PARALLEL TO CD

D=70°

C=30°

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Answer 2

Answer:

Angle D = 70 degree Angle C = 30 degree Angle E = 80

Step-by-step explanation:

Angle A = 70 degree (given)

Angle B = 30 degree (given)

AB || CD (given)

So Angle A = Angle D = 70 degree (Alt int angles)

and, Angle B = Angle C = 30 degree (Alt int angle)

ATC Angle A + Angle B + Angle E = 180 degree (angle sum property of triangle)

or , Angle E = 180 degree - ( 70 + 30) degree

= 180 degree - 100 degree = 80 degree