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CBSE Class 9 Answered

IN THE GIVEN FIGURE, FIND THE VALUE OF x and y if AB//CD.
Asked by nisha_vini29 | 13 Sep, 2015, 12:35: AM
answered-by-expert Expert Answer

begin mathsize 14px style angle A Q R space equals 20 degree plus y A l s o comma space A Q R equals 58 degree space space space... left parenthesis c o r r e s p o n d i n g space a n g l e right parenthesis h u s comma space 20 degree plus y equals 58 degree y equals 58 degree minus 20 degree equals 38 degree angle A Q R plus angle C R Q equals 180 degree space space space..... left parenthesis c o n s e c u t i v e space i n t e r i o r space a n g l e s right parenthesis 58 degree plus angle C R Q equals 180 degree angle C R Q equals 180 degree minus 58 degree equals 122 degree N o w comma space C R Q equals 122 degree equals 22 degree plus z space left parenthesis a s s u m e right parenthesis a equals 122 degree minus 22 degree equals 100 degree x plus y plus z equals 180 degree x plus 38 degree plus 100 degree equals 180 x equals 180 degree minus 138 degree equals 42 degree end style

Answered by | 14 Sep, 2015, 06:01: PM
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