Fewpal
+1 vote
891 views
in Mathematics by (29.7k points)

In the figure, find the values of x and y and then show that AB || CD.

1 Answer

+1 vote
by (127k points)
selected by
 
Best answer

In the given figure, a transversal intersects two lines AB and CD such that 

x + 50° = 180° (Linear pair axiom) 

⇒ x = 180° – 50° 

= 130° y = 130° (Vertically opposite angles) 

Therefore, ∠x = ∠y = 130° (Alternate angles) 

∴ AB || CD (Converse of alternate angles axiom) Proved.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...