what isthe justifications for the questionasked in video part 3 in parallel and transversal topic
 

Asked by sanatkothari99 | 25th Jul, 2014, 10:01: PM

Expert Answer:

1. G i v e n space t h a t space x plus 80 space a n d space 5 x space a r e space t h e space c o r r e s p o n d i n g space a n g l e s space f o r m e d space b y space t h e space t r a n s v e r s a l space o f space t w o space p a r a l l e l space l i n e s. S i n c e space t h e space c o r r e s p o n d i n g space a n g l e s space a r e space e q u a l comma space w e space h a v e comma x plus 80 equals 5 x rightwards double arrow 5 x minus x equals 80 rightwards double arrow 4 x equals 80 rightwards double arrow x equals 80 over 4 equals 20 2. space G v i e n space t h a t space 2 x plus 10 space a n d space 86 plus x space a r e space a l t e r n a t e space e x t e r i o r space a n g l e s space f o r m e d space b y space t h e space t r a n s v e r s a l space o f space t w o space p a r a l l e l space l i n e s. S i n c e space t h e space a l t e r n a t e space e x t e r i o r space a n g l e s space a r e space e q u a l comma space w e space h a v e 2 x plus 10 equals 86 plus x rightwards double arrow 2 x minus x equals 86 minus 10 rightwards double arrow x equals 76 3. space G i v e n space s ta t e m e n t space i s : I f space t w o space v e r t i c a l l y space o p p o s i t e space a n g l e s space a r e space e q u a l comma space t h e n space t h e space l i n e s space a r e space p a r a l l e l. W e space n e e d space t o space s a y space w h e t h e r space i t space i s space t r u e space o r space n o t. S i n c e space v e r t i c a l l y space o p p o s i t e space a n g l e s space a r e space f o r m e d space o n l y space w h e n space t h e space l i n e s space a r e space i n t e r s e c t i n g space a n d space h e n c e t h e space t w o space l i n e s space a r e space n o t space p a r a l l e l. H e n c e space t h e space c o r r e c t space o p t i o n space i s space

Answered by Vimala Ramamurthy | 31st Jul, 2014, 10:54: AM