Question

Question - In fig. 4.82, AB||CD and angle E = 30°, find angle FCD. ​

Answer 1

Answer:

120 degree

Step-by-step explanation:

In the triangle AEF, angle F= 60 degree

so Angle BFC=60 degree (Vertically opposite angles)

Now, Angle C = 180degree - Angle F (alternative angles)

Angle C = 180 - 60= 120 degree

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Answer 2

Step-by-step explanation:

In triangle AEF , angle E = 30° , angle A= 90°

then ,

(sum of the angle of a triangle ) 180° =

angle E +angle A +angle F

therefore, 30°+90+ angle F

180°=120°+ angle F

= angle F = 180°- 120°

angle F = 60° ,

therefore we know that line AB is 180°

if angle EFA = 60° then angle EFB = 120°

because 180°- 60° =120°

if angle EFB = 120° then angle FCD = 120° ( given= line AB || CD , if the both line are parallel they are corresponding angle )

hence angle FCD=120° ( by corresponding angle)