Question

Could someone please help me find x and y ? :)

Answer 1

IN THIS PARALLELOGRAM WE HAVE 2 TRAINGLES AOB AND DOC SO IF WE PROVE THESE TWO TRIANGLES CONGRUENT THEN WE MAY CREATE AN EQUATION TO FIND THE VALUES OF X AND Y

SO....

IN TRIANGLE AOB AND DOC WE HAVE

ANGLE AOB = ANGLE DOC(V. OPPOSITE)

ANGLE OAB = ANGLE OCD ( ALTERNATE INT.)

SIDE AB = SIDE DC (OPPOSITE SIDES OF PARALLELOGRAM)

SO BY ASA CONGRUENCY THESE TWO TRIANGLES ARE CONGRUENT

SO..

THE CORRESPONDING SIDES MUST BE EQUAL ALWAYS BY CPCT...HENCE,

AO=OC

DO=OB

Y=3X-3 ........EQ.1

-2X-4Y=26

(PUTTING THE VALUE OF Y IN THIS EQUATUON WE GET)

-2X-4(3X-3)=26

= -2X-12X+12=26

= -14X= 14

= X= -1 THEREFORE Y = -6

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