CBSE Class 9 Answered

Using a protractor, draw an angle of measure 136^o. With this angle as given draw an angle of measure 102^o.

Asked by Topperlearning User | 06 Aug, 2014, 04:02: PM

Expert Answer

$S t e p s space o f space c o n s t r u c t i o n : i. space D r a w space space angle A O B space equals space 136 degree space b y space u sin g space a space p r o t r a c t o r. i i. space W i t h space O space a s space c e n t r e space a n d space a space c o n v e n i e n t space r a d i u s space d r a w space a n space a r c space c u t t i n g space O A space a n d space O B space a t space P space a n d space Q r e s p e c t i v e l y. i i i. space W i t h space P space a s space c e n t r e space a n d space r a d i u s space m o r e space t h a n space h a l f space o f space P Q space o f space A B comma space d r a w space a n space a r c i v. space W i t h space Q space a s space c e n t r e space a n d space t h e space s a m e space r a d i u s space a s space i n space s t e p space i i i space d r a w space a n o t h e r space a r c space i n t e r s e c t i n g space t h e space p r e v i o u s space a r c space a t space R. v. space J o i n space O R space a n d space p r o d u c e space i t space t o space f o r m space r a y space O X. space angle A O X equals 68 degree v i. space W i t h space S space a s space c e n t r e space left parenthesis t h e space p o i n t space w h e r e space r a y space O X space c u t s space t h e space a r c space P Q right parenthesis space a n d space r a d i u s space m o r e space t h a n space h a l f space o f space Q S space d r a w space a n space a r c. v i i. space W i t h space c e n t r e space Q space a n d space s a m e space r a d i u s comma space a s space i n space t h e space p r e v i o u s space s t e p comma space d r a w space a n o t h e r space a r c i n t e r s e c t i n g space t h e space a r c space d r a w n space i n space t h e space l a s t space s t e p space a t space T. v i i i. space J o i n space O T space a n d space p r o d u c e space i t space t o space Y space t o space f o r m space O Y. i x. angle X O Y equals space 1 half angle X O B space equals 34 degree x. space therefore angle A O T equals angle A O X plus angle X O Y equals 68 degree plus 34 degree equals 102 degree x i. angle A O Y space i s space t h e space r e q u i r e d space a n d space e q u a l s space t o space 102 degree$