Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • ABCD is a trapezium in which AB || CD and AD = BC (see Fig. 8.23). Show that (ii) ∠ C = ∠ D

Q : 12 ABCD is a trapezium in which AB || CD and AD = BC (see Fig. 8.23). Show that \small \angle C=\angle D

[Hint : Extend AB and draw a line through C parallel to DA intersecting AB produced at E.

       

Answers (1)

best_answer

Given: ABCD is a trapezium in which  \small AB\parallel CD and  \small AD=BC

To prove :\small \angle C=\angle D

Proof:   Let \angle A be \angle1, \angleABC be \angle2, \angle EBC be \angle3, \angle BEC be \angle4.

  \angle 1+\angle D= 180 \degree       (Co-interior angles)

  \angle 2+\angle C= 180 \degree        (Co-interior angles)

\therefore \angle 1+\angle D=\angle 2+\angle C

  Thus, \small \angle C=\angle D      (Since ,\small \angle 1=\angle 2 )

 

 

 

Posted by

seema garhwal

View full answer

Similar Questions

Trending Articles/News

anam-khan

Board Exam Date 2025 Live: Bihar Class 10, 12 model papers out, time table soon; updates on CBSE, UP
anam-khan

CBSE Class 10 board exams from February 15 to March 18; download date sheet 2025 PDF

Latest Question